CN105354414A - Hierarchical analysis-based human body health condition assessment method - Google Patents

Abstract

The invention discloses a method for assessing human health status based on hierarchical analysis. The method includes constructing a human health status evaluation model based on human physiological parameter information at the beginning; determining scale information and generating a judgment matrix; checking the consistency of the judgment matrix, if If the consistency is not satisfied, return to the previous step to regenerate the judgment matrix until the consistency is satisfied. If the consistency is satisfied, enter the next step; perform single-level sorting and total-level sorting on the judgment matrix; according to the importance of the total level sorting The weight information is used to obtain the evaluation result of the health status of the evaluation object. The technical solution provided by the invention integrates the information of human physiological parameters such as heart rate, body temperature, blood oxygen saturation, blood pressure and blood sugar currently used to evaluate human health status, constructs a human health status evaluation model, and makes the entire evaluation system organized and hierarchical It will help non-professionals to clearly and clearly understand their own health status.

Description

A method for assessing human health status based on analytic hierarchy process

technical field

The invention relates to a method for assessing human health status.

Background technique

With the improvement of people's health care awareness, people pay more and more attention to their health. A joint study by the University of Washington, the University of Southern California, and the University of Colorado shows that, especially with the development of aging in the coming decades, the assessment of human health status will become more and more important. With the continuous advancement of medicine, more and more people gradually shift their focus from late diagnosis and treatment to early prevention. Based on the current research status in the field of biomedicine, it can be known that physiological parameters such as body temperature, blood pressure, blood oxygen saturation, blood oxygen, and blood sugar have an important impact on human health. Recently, people have carried out research on portable devices for telemedicine in full swing, and the prior art already exists for human body-related physiological parameter monitoring devices and human health detection systems, such as the human pulse information collection device disclosed in patent document CN102247128A. A condition monitoring device, which can evaluate the health status of the human body by detecting pulse waves, but its disadvantage is that it can only monitor one parameter, and cannot comprehensively and comprehensively evaluate the health status of the human body; patent document CN203898280U discloses a human health status monitoring The device can realize the monitoring of the five physiological parameters of blood sugar, blood pressure, body temperature, heart rate, and blood oxygen saturation, but it is only limited to the monitoring of each parameter, and it only provides the most original professional data. For medical workers with many clinical experiences and non-professionals, it is difficult to simply, intuitively and accurately understand the current health status of the human body based on these unprocessed professional data; The mobile phone, the patent document CN202960484U discloses a human health detection system, and the patent document CN204618430U discloses a household human health detection system, which can realize the functions of real-time monitoring of physiological parameters and feedback of human health status to smart terminals, but most of them are It is aimed at a single individual user and relies heavily on peripheral hardware devices such as mobile Internet and large-scale remote medical servers. In some remote mountainous areas that cannot provide these, it will undoubtedly lose its human health status assessment function.

Contents of the invention

The purpose of the present invention is to provide a method for assessing human health status. The method builds a human health status assessment model based on the analytic hierarchy process, and integrates heart rate, body temperature, blood oxygen saturation, blood pressure, and blood sugar, etc. currently used to assess human health status. Human physiological parameter information, through the fusion of multi-source heterogeneous parameters, effectively weakens the error caused by the traditional evaluation based on a single parameter. It can not only realize the real-time understanding of the physical health status of a single individual user, but also realize the physical health of a large-density certain characteristic group Situation classification and screening, while avoiding excessive dependence on large-scale remote medical servers or databases, the method is simple and reliable, thereby improving the practicability, effectiveness and applicability of the human health assessment method in special environments.

To achieve the above object, the present invention is achieved by taking the following technical solutions:

A method for assessing human health status based on hierarchical analysis, characterized in that it comprises the following steps:

(1) Construct an assessment model of human health status according to the information of human physiological parameters, wherein the information of human physiological parameters includes heart rate B1, body temperature B2, blood oxygen saturation B3, blood pressure B4, blood sugar B5; Layer B and the lowest layer C are used for the classification and screening of health status of evaluation objects C1, ..., Cm of large-density groups with the same characteristics; The layer is the health status of the evaluation object, which is divided into three levels: normal, mildly unhealthy, and severely unhealthy, also known as the target layer; the middle layer is the physiological parameters of the human body that determine the health status of the evaluation object, also known as the criterion layer; The bottom layer is the evaluation object, also known as the object layer; where m is the number of evaluation objects, which is a natural number;

(2) Determine the scale information;

(3) Generate a judgment matrix:

Compared with the highest level A, the relative importance of each factor in the middle level B is compared, and the judgment matrix A-B is as follows:

Compared with the middle layer B, the relative importance of each factor in the lowest layer C is compared, and the judgment matrix B _k -C is as follows:

Where m is the number of evaluation objects, k=1,2,3,4,5;

(4) Check the consistency of the judgment matrix AB, B _k -C, where the calculation formulas of the consistency index CI and the random consistency ratio CR are respectively:

$\begin{array}{cc}\mathrm{<span\; class="notranslate">\; C</span>}\mathrm{<span\; class="notranslate">\; I</span>}<span\; class="notranslate">\; =</span>\frac{{\mathrm{<span\; class="notranslate">\; \&lambda;</span>}}_{\mathrm{<span\; class="notranslate">\; max</span>}}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; no</span>}}{\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1</span>}}& \mathrm{<span\; class="notranslate">\; C</span>}\mathrm{<span\; class="notranslate">\; R</span>}<span\; class="notranslate">\; =</span>\frac{\mathrm{<span\; class="notranslate">\; C</span>}\mathrm{<span\; class="notranslate">\; I</span>}}{\mathrm{<span\; class="notranslate">\; R</span>}\mathrm{<span\; class="notranslate">\; I</span>}}\end{array}$

In the formula, λ _max is the maximum value of the eigenvector of the judgment matrix, n is the number of rows of the judgment matrix, and RI is the average random consistency index; when CR<0.1, it is considered that the judgment matrix meets the consistency requirements, and enters the next step; otherwise It is necessary to return to step (3) to readjust the judgment matrix until it meets the consistency requirements;

(5) Carry out hierarchical single sorting and hierarchical total sorting to judgment matrix AB, _Bk -C;

(6) According to the importance weight information of the lowest layer relative to the highest layer, the health status evaluation results of m evaluation objects are obtained.

In the above method, the scale information in step (2) includes equally important, slightly important, relatively important, very important, and absolutely important, and its scale values are represented by numbers 1, 3, 5, 7, and 9 respectively, and are represented by 2 , 4, 6, and 8 represent the intermediate values of the above relative importance judgments.

The number of evaluation objects m≤20.

Compared with prior art, the advantage of the present invention is:

1. The present invention neither blindly pursues advanced mathematics nor one-sidedly relies on human experience and subjective judgment. According to the current analytic hierarchy process, it is successful in the fields of water quality evaluation, enterprise financial risk evaluation, battery performance evaluation, and power equipment insulation performance evaluation. Application, use the AHP to construct the assessment model of human health status, present the entire assessment system in an orderly and hierarchical manner, and the assessment results given can enable non-professionals to clearly and clearly understand their own health status, so as to improve the quality of life related to the human body. The adjustment of activities and even the prevention and treatment of diseases have important guiding significance.

2. The present invention integrates the five characteristic parameters currently used to evaluate human health status, namely heart rate, body temperature, blood oxygen saturation, blood pressure and blood sugar, and effectively weakens the traditional single parameter evaluation through the fusion of multi-source heterogeneous parameters. errors; according to the human health status assessment method based on AHP, a single individual user can not only understand the physical health status in real time, but also can realize the screening of the physical health status of a certain characteristic group in a large density, and at the same time avoid the need for large-scale remote medical servers or databases. Over-reliance can comprehensively assess human health status, and the assessment method is simple and reliable, thus improving the practicability, effectiveness and applicability of the human health assessment method in special environments.

Description of drawings

Fig. 1 is a schematic flow chart of the method of the present invention.

Fig. 2 is a hierarchical structure diagram of the evaluation model in the method of the present invention.

detailed description

The present invention will be further described in detail below in conjunction with the accompanying drawings and through specific embodiments.

As shown in Figure 1, a method for assessing human health status based on hierarchical analysis begins by constructing a human health status assessment model based on the information of human physiological parameters, and its hierarchical structure diagram is shown in Figure 2; The importance of each factor of layer B relative to the highest layer A and the lowest layer C relative to the factors of the middle layer B, generate judgment matrix AB, B _k -C; and check the consistency of judgment matrix AB, B _k -C, If the consistency requirement is not met, return to the previous step to adjust the judgment matrix AB, _{B k} -C until the consistency requirement is met, and if the consistency requirement is met, then perform hierarchical single-level sorting and hierarchical Total sorting; finally, according to the importance weight information of the lowest layer relative to the highest layer, the computer outputs the health status evaluation results of m evaluation objects. Specifically include the following steps:

Step 1) In this embodiment, m=5, that is, 5 evaluation objects are selected, and their actual physiological parameter information is given. The specific data are shown in Table 1, wherein these 5 evaluation objects are all 30-year-old adults in a fasting and quiet state Male, according to the literature, it can be seen that the health status of the evaluation object C1 is normal, and the evaluation objects C2, ..., C5 are all abnormal to varying degrees, and the health status of the evaluation objects C1, ..., C5 is getting worse in turn.

Table 1 Information data of human physiological parameters

Step 2) The human health status assessment model is shown in Figure 2, including the highest layer A, the middle layer B and the lowest layer C, where the highest layer is the health status of the evaluation object, also known as the target layer; The human physiological parameters of the situation are also called the criterion layer; the bottom layer is the evaluation object, also called the object layer.

Step 3) According to the scale information, determine the importance of the factors of the middle layer B relative to the factors of the highest layer A and the factors of the bottom layer C relative to the factors of the middle layer B. The scale is used as the basis for judging the relative importance of each factor at each level, that is, it gives a scientific and accurate quantitative expression of the importance of each factor at the next level relative to the factors at the previous level. Scale information includes equally important, slightly important, relatively important, very important, and absolutely important. The scale values are represented by 1, 3, 5, 7, and 9, and the adjacent scale values are represented by 2, 4, 6, and 8, respectively. The middle value of the degree value. Numbers 1 to 9 are the 9th percentile ratio, and the specific scale values are shown in Table 2.

Table 2 scale meaning table

In this embodiment, according to the degree of influence of different physiological parameters on the health status of the human body, the importance of heart rate B1, body temperature B2, blood oxygen saturation B3, blood pressure B4, and blood sugar B5 in the middle layer B relative to the highest layer A is set to 1 respectively. , 3, 4, 5, 7; similarly, according to the actual situation of the evaluation object, the importance of the factors of the lowest level C relative to the factors of the middle level B can be set.

Step 4) Generate judgment matrix AB and judgment matrix _Bk -C as follows.

$\mathrm{<span\; class="notranslate">\; A</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; B</span>}<span\; class="notranslate">\; =</span>{\left(\begin{array}{ccccc}\mathrm{<span\; class="notranslate">\; 1</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 3</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 4</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 7</span>}\\ \mathrm{<span\; class="notranslate">\; 3</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}& \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 4</span>}& \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 7</span>}\\ \mathrm{<span\; class="notranslate">\; 4</span>}& \mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 3</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}& \mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 7</span>}\\ \mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 3</span>}& \mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 4</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}& \mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 7</span>}\\ \mathrm{<span\; class="notranslate">\; 7</span>}& \mathrm{<span\; class="notranslate">\; 7</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 3</span>}& \mathrm{<span\; class="notranslate">\; 7</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 4</span>}& \mathrm{<span\; class="notranslate">\; 7</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}\end{array}\right)}_{\mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; \&times;</span>\mathrm{<span\; class="notranslate">\; 5</span>}}{\mathrm{<span\; class="notranslate">\; B</span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; C</span>}<span\; class="notranslate">\; =</span>{\left\{\begin{array}{ccccc}\mathrm{<span\; class="notranslate">\; 1</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 2</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 3</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 4</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}\\ \mathrm{<span\; class="notranslate">\; 2</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}& \mathrm{<span\; class="notranslate">\; 2</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 3</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 2</span>}& \mathrm{<span\; class="notranslate">\; 2</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}\\ \mathrm{<span\; class="notranslate">\; 3</span>}& \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 2</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}& \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 4</span>}& \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}\\ \mathrm{<span\; class="notranslate">\; 4</span>}& \mathrm{<span\; class="notranslate">\; 2</span>}& \mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 3</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}& \mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}\\ \mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 2</span>}& \mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 3</span>}& \mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 4</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}\end{array}\right\}}_{\mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; \&times;</span>\mathrm{<span\; class="notranslate">\; 5</span>}}$

${\mathrm{<span\; class="notranslate">\; B</span>}}_{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; C</span>}<span\; class="notranslate">\; =</span>{\left(\begin{array}{ccccc}\mathrm{<span\; class="notranslate">\; 1</span>}& \mathrm{<span\; class="notranslate">\; 2</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 3</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 2</span>}& \mathrm{<span\; class="notranslate">\; 2</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 3</span>}\\ \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 2</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}& \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 4</span>}& \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 2</span>}\\ \mathrm{<span\; class="notranslate">\; 2</span>}& \mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 3</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}& \mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 2</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 3</span>}\\ \mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 2</span>}& \mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 3</span>}& \mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 4</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}& \mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 7</span>}\\ \mathrm{<span\; class="notranslate">\; 3</span>}& \mathrm{<span\; class="notranslate">\; 2</span>}& \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 2</span>}& \mathrm{<span\; class="notranslate">\; 6</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}\end{array}\right)}_{\mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; \&times;</span>\mathrm{<span\; class="notranslate">\; 5</span>}}{\mathrm{<span\; class="notranslate">\; B</span>}}_{\mathrm{<span\; class="notranslate">\; 3</span>}}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; C</span>}<span\; class="notranslate">\; =</span>{\left\{\begin{array}{ccccc}\mathrm{<span\; class="notranslate">\; 1</span>}& \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 4</span>}& \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 2</span>}& \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 7</span>}\\ \mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 3</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}& \mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 2</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 3</span>}& \mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 7</span>}\\ \mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 3</span>}& \mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 4</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}& \mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 6</span>}& \mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 7</span>}\\ \mathrm{<span\; class="notranslate">\; 2</span>}& \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 2</span>}& \mathrm{<span\; class="notranslate">\; 6</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}& \mathrm{<span\; class="notranslate">\; 6</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 7</span>}\\ \mathrm{<span\; class="notranslate">\; 7</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 3</span>}& \mathrm{<span\; class="notranslate">\; 7</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 4</span>}& \mathrm{<span\; class="notranslate">\; 7</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 7</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 6</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}\end{array}\right\}}_{\mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; \&times;</span>\mathrm{<span\; class="notranslate">\; 5</span>}}$

${\mathrm{<span\; class="notranslate">\; B</span>}}_{\mathrm{<span\; class="notranslate">\; 4</span>}}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; C</span>}<span\; class="notranslate">\; =</span>{\left(\begin{array}{ccccc}\mathrm{<span\; class="notranslate">\; 1</span>}& \mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 2</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 3</span>}& \mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 7</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 2</span>}\\ \mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 4</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}& \mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 6</span>}& \mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 7</span>}& \mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 8</span>}\\ \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 2</span>}& \mathrm{<span\; class="notranslate">\; 6</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}& \mathrm{<span\; class="notranslate">\; 6</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 7</span>}& \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 4</span>}\\ \mathrm{<span\; class="notranslate">\; 7</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 4</span>}& \mathrm{<span\; class="notranslate">\; 7</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 7</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 6</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}& \mathrm{<span\; class="notranslate">\; 7</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 8</span>}\\ \mathrm{<span\; class="notranslate">\; 2</span>}& \mathrm{<span\; class="notranslate">\; 8</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 3</span>}& \mathrm{<span\; class="notranslate">\; 8</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 7</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}\end{array}\right)}_{\mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; \&times;</span>\mathrm{<span\; class="notranslate">\; 5</span>}}{\mathrm{<span\; class="notranslate">\; B</span>}}_{\mathrm{<span\; class="notranslate">\; 5</span>}}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; C</span>}<span\; class="notranslate">\; =</span>{\left\{\begin{array}{ccccc}\mathrm{<span\; class="notranslate">\; 1</span>}& \mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 6</span>}& \mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 7</span>}& \mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 8</span>}& \mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 9</span>}\\ \mathrm{<span\; class="notranslate">\; 6</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}& \mathrm{<span\; class="notranslate">\; 6</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 7</span>}& \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 4</span>}& \mathrm{<span\; class="notranslate">\; 2</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 3</span>}\\ \mathrm{<span\; class="notranslate">\; 7</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 7</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 6</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}& \mathrm{<span\; class="notranslate">\; 7</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 8</span>}& \mathrm{<span\; class="notranslate">\; 7</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 9</span>}\\ \mathrm{<span\; class="notranslate">\; 8</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 3</span>}& \mathrm{<span\; class="notranslate">\; 8</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 7</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}& \mathrm{<span\; class="notranslate">\; 8</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 9</span>}\\ \mathrm{<span\; class="notranslate">\; 9</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 2</span>}& \mathrm{<span\; class="notranslate">\; 9</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 7</span>}& \mathrm{<span\; class="notranslate">\; 9</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 8</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}\end{array}\right\}}_{\mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; \&times;</span>\mathrm{<span\; class="notranslate">\; 5</span>}}$

Step 5) Check the consistency of the judgment matrix and perform hierarchical single sorting.

Firstly, according to the square root method, the largest characteristic root λ _max of the judgment matrix AB, _Bk -C and its corresponding normalized characteristic vector S are calculated, as follows:

(1) Normalize the judgment matrix AB and B _k -C respectively, so that the sum of the elements in each column is 1, that is

$\begin{array}{cc}{\mathrm{<span\; class="notranslate">\; v</span>}}_{\mathrm{<span\; class="notranslate">\; i</span>}\mathrm{<span\; class="notranslate">\; j</span>}}<span\; class="notranslate">\; =</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; i</span>}\mathrm{<span\; class="notranslate">\; j</span>}}<span\; class="notranslate">\; /</span>\underset{\mathrm{<span\; class="notranslate">\; i</span>}<span\; class="notranslate">\; =</span>\mathrm{<span\; class="notranslate">\; 1</span>}}{\overset{\mathrm{<span\; class="notranslate">\; no</span>}}{<span\; class="notranslate">\; \&Sigma;</span>}}{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; i</span>}\mathrm{<span\; class="notranslate">\; j</span>}}<span\; class="notranslate">\; =</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; i</span>}\mathrm{<span\; class="notranslate">\; j</span>}}<span\; class="notranslate">\; /</span>\underset{\mathrm{<span\; class="notranslate">\; i</span>}<span\; class="notranslate">\; =</span>\mathrm{<span\; class="notranslate">\; 1</span>}}{\overset{\mathrm{<span\; class="notranslate">\; 5</span>}}{<span\; class="notranslate">\; \&Sigma;</span>}}{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; i</span>}\mathrm{<span\; class="notranslate">\; j</span>}}& \mathrm{<span\; class="notranslate">\; j</span>}<span\; class="notranslate">\; =</span>\mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; ,</span>\mathrm{<span\; class="notranslate">\; 2</span>}<span\; class="notranslate">\; ,</span>\mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; ,</span>\mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; ,</span>\mathrm{<span\; class="notranslate">\; 5</span>}\end{array}$

In the formula, u _ij represents the ratio of the importance of factor i to factor j. The larger the ratio, the higher the importance of factor i, otherwise, the lower the importance of factor i.

(2) Sum the normalized judgment matrix by row to get

$\begin{array}{cc}{\mathrm{<span\; class="notranslate">\; w</span>}}_{\mathrm{<span\; class="notranslate">\; i</span>}}<span\; class="notranslate">\; =</span>\underset{\mathrm{<span\; class="notranslate">\; j</span>}<span\; class="notranslate">\; =</span>\mathrm{<span\; class="notranslate">\; 1</span>}}{\overset{\mathrm{<span\; class="notranslate">\; no</span>}}{<span\; class="notranslate">\; \&Sigma;</span>}}{\mathrm{<span\; class="notranslate">\; v</span>}}_{\mathrm{<span\; class="notranslate">\; i</span>}\mathrm{<span\; class="notranslate">\; j</span>}}<span\; class="notranslate">\; =</span>\underset{\mathrm{<span\; class="notranslate">\; j</span>}<span\; class="notranslate">\; =</span>\mathrm{<span\; class="notranslate">\; 1</span>}}{\overset{\mathrm{<span\; class="notranslate">\; 5</span>}}{<span\; class="notranslate">\; \&Sigma;</span>}}{\mathrm{<span\; class="notranslate">\; v</span>}}_{\mathrm{<span\; class="notranslate">\; i</span>}\mathrm{<span\; class="notranslate">\; j</span>}}& \mathrm{<span\; class="notranslate">\; i</span>}<span\; class="notranslate">\; =</span>\mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; ,</span>\mathrm{<span\; class="notranslate">\; 2</span>}<span\; class="notranslate">\; ,</span>\mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; ,</span>\mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; ,</span>\mathrm{<span\; class="notranslate">\; 5</span>}\end{array}$

(3) Perform normalization on w _i to obtain the standardized eigenvector corresponding to the judgment matrix AB, B _k -C, as follows:

$\begin{array}{cc}{\mathrm{<span\; class="notranslate">\; the\; s</span>}}_{\mathrm{<span\; class="notranslate">\; i</span>}}<span\; class="notranslate">\; =</span>{\mathrm{<span\; class="notranslate">\; w</span>}}_{\mathrm{<span\; class="notranslate">\; i</span>}}<span\; class="notranslate">\; /</span>\underset{\mathrm{<span\; class="notranslate">\; i</span>}<span\; class="notranslate">\; =</span>\mathrm{<span\; class="notranslate">\; 1</span>}}{\overset{\mathrm{<span\; class="notranslate">\; no</span>}}{<span\; class="notranslate">\; \&Sigma;</span>}}{\mathrm{<span\; class="notranslate">\; w</span>}}_{\mathrm{<span\; class="notranslate">\; i</span>}}<span\; class="notranslate">\; =</span>{\mathrm{<span\; class="notranslate">\; w</span>}}_{\mathrm{<span\; class="notranslate">\; i</span>}}<span\; class="notranslate">\; /</span>\underset{\mathrm{<span\; class="notranslate">\; i</span>}<span\; class="notranslate">\; =</span>\mathrm{<span\; class="notranslate">\; 1</span>}}{\overset{\mathrm{<span\; class="notranslate">\; 5</span>}}{<span\; class="notranslate">\; \&Sigma;</span>}}{\mathrm{<span\; class="notranslate">\; w</span>}}_{\mathrm{<span\; class="notranslate">\; i</span>}}& \mathrm{<span\; class="notranslate">\; i</span>}<span\; class="notranslate">\; =</span>\mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; ,</span>\mathrm{<span\; class="notranslate">\; 2</span>}<span\; class="notranslate">\; ,</span>\mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; ,</span>\mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; ,</span>\mathrm{<span\; class="notranslate">\; 5</span>}\end{array}$

S=(s ₁ ,s ₂ ,s ₃ ,s ₄ ,s ₅ ) ^Τ

(4) Comprehensive steps (1), (2), and (3) can be calculated to obtain the maximum characteristic root of the judgment matrix AB, B _k -C as follows:

${\mathrm{<span\; class="notranslate">\; \&lambda;</span>}}_{\mathrm{<span\; class="notranslate">\; max</span>}}<span\; class="notranslate">\; =</span>\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; no</span>}}\underset{\mathrm{<span\; class="notranslate">\; i</span>}<span\; class="notranslate">\; =</span>\mathrm{<span\; class="notranslate">\; 1</span>}}{\overset{\mathrm{<span\; class="notranslate">\; no</span>}}{<span\; class="notranslate">\; \&Sigma;</span>}}\frac{{\mathrm{<span\; class="notranslate">\; As</span>}}_{\mathrm{<span\; class="notranslate">\; i</span>}}}{{\mathrm{<span\; class="notranslate">\; the\; s</span>}}_{\mathrm{<span\; class="notranslate">\; i</span>}}}<span\; class="notranslate">\; =</span>\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 5</span>}}\underset{\mathrm{<span\; class="notranslate">\; i</span>}<span\; class="notranslate">\; =</span>\mathrm{<span\; class="notranslate">\; 1</span>}}{\overset{\mathrm{<span\; class="notranslate">\; 5</span>}}{<span\; class="notranslate">\; \&Sigma;</span>}}\frac{{\mathrm{<span\; class="notranslate">\; As</span>}}_{\mathrm{<span\; class="notranslate">\; i</span>}}}{{\mathrm{<span\; class="notranslate">\; the\; s</span>}}_{\mathrm{<span\; class="notranslate">\; i</span>}}}$

Secondly, to check the consistency of the judgment matrix, it is necessary to calculate the consistency index CI and query the average random consistency index RI, as shown in Table 3. When the random consistency ratio CR=CI/RI<0.10, it can be considered that the results of sorting based on AHP meet the consistency requirements, that is, the distribution of weight coefficients is reasonable; otherwise, it is necessary to return to step 4) to adjust the elements of the judgment matrix value, and regenerate the judgment matrix until the consistency requirements are met.

Table 3 average random consistency index RI

no 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 RI 0 0 0.52 0.89 1.12 1.26 1.36 1.41 1.46 1.49 1.52 1.54 1.56 1.58 1.59

The consistency test results of the judgment matrix AB and B _k -C are as follows:

(1) The consistency test results of the judgment matrix A-B are as follows.

$\mathrm{<span\; class="notranslate">\; A</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; B</span>}<span\; class="notranslate">\; =</span>{\left(\begin{array}{ccccc}\mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 20</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 20</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 20</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 20</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 20</span>}\\ \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 20</span>}& \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 20</span>}& \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 20</span>}& \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 20</span>}& \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 20</span>}\\ \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}\\ \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 4</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 4</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 4</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 4</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 4</span>}\\ \mathrm{<span\; class="notranslate">\; 7</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 20</span>}& \mathrm{<span\; class="notranslate">\; 7</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 20</span>}& \mathrm{<span\; class="notranslate">\; 7</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 20</span>}& \mathrm{<span\; class="notranslate">\; 7</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 20</span>}& \mathrm{<span\; class="notranslate">\; 7</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 20</span>}\end{array}\right)}_{\mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; \&times;</span>\mathrm{<span\; class="notranslate">\; 5</span>}}<span\; class="notranslate">\; \&DoubleRightArrow;</span>{\mathrm{<span\; class="notranslate">\; S</span>}}_{\mathrm{<span\; class="notranslate">\; A</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; B</span>}}<span\; class="notranslate">\; =</span>{\left(\begin{array}{c}\mathrm{<span\; class="notranslate">\; 0.05</span>}\\ \mathrm{<span\; class="notranslate">\; 0.15</span>}\\ \mathrm{<span\; class="notranslate">\; 0.20</span>}\\ \mathrm{<span\; class="notranslate">\; 0.25</span>}\\ \mathrm{<span\; class="notranslate">\; 0.35</span>}\end{array}\right)}_{\mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; \&times;</span>\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; \&DoubleRightArrow;</span>$

${\mathrm{\&lambda;}}_{\max A-B}=5.00\&DoubleRightArrow;{\mathrm{CI}}_{A-B}=0\&DoubleRightArrow;{\mathrm{CR}}_{A-B}={\mathrm{CI}}_{A-B}/RI=0/1.12=0<0.10\&DoubleRightArrow;$ Judgment matrix AB meets the consistency requirement.

(2) The consistency test results of the judgment matrix B ₁ -C are as follows:

${\mathrm{<span\; class="notranslate">\; B</span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; C</span>}<span\; class="notranslate">\; =</span>{\left(\begin{array}{ccccc}\mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 15</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 15</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 15</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 15</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 15</span>}\\ \mathrm{<span\; class="notranslate">\; 2</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 15</span>}& \mathrm{<span\; class="notranslate">\; 2</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 15</span>}& \mathrm{<span\; class="notranslate">\; 2</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 15</span>}& \mathrm{<span\; class="notranslate">\; 2</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 15</span>}& \mathrm{<span\; class="notranslate">\; 2</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 15</span>}\\ \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}\\ \mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 15</span>}& \mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 15</span>}& \mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 15</span>}& \mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 15</span>}& \mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 15</span>}\\ \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 3</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 3</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 3</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 3</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 3</span>}\end{array}\right)}_{\mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; \&times;</span>\mathrm{<span\; class="notranslate">\; 5</span>}}<span\; class="notranslate">\; \&DoubleRightArrow;</span>{\mathrm{<span\; class="notranslate">\; S</span>}}_{{\mathrm{<span\; class="notranslate">\; B</span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; C</span>}}<span\; class="notranslate">\; =</span>{\left(\begin{array}{c}\mathrm{<span\; class="notranslate">\; 0.07</span>}\\ \mathrm{<span\; class="notranslate">\; 0.13</span>}\\ \mathrm{<span\; class="notranslate">\; 0.20</span>}\\ \mathrm{<span\; class="notranslate">\; 0.27</span>}\\ \mathrm{<span\; class="notranslate">\; 0.33</span>}\end{array}\right)}_{\mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; \&times;</span>\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; \&DoubleRightArrow;</span>$

${\mathrm{\&lambda;}}_{{\mathrm{max\; B}}_1-C}=5.01\&DoubleRightArrow;{\mathrm{CI}}_{B_1-C}=0.003\&DoubleRightArrow;{\mathrm{CR}}_{B_1-C}={\mathrm{CI}}_{B_1-C}/RI=0.003/1.12=0.0027<0.10\&DoubleRightArrow;$ Judgment matrix B ₁ -C meets the consistency requirement.

(3) The consistency test results of the judgment matrix B ₂ -C are as follows.

${\mathrm{<span\; class="notranslate">\; B</span>}}_{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; C</span>}<span\; class="notranslate">\; =</span>{\left(\begin{array}{ccccc}\mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 10</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 10</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 10</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 10</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 10</span>}\\ \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 20</span>}& \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 20</span>}& \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 20</span>}& \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 20</span>}& \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 20</span>}\\ \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}\\ \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 4</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 4</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 4</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 4</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 4</span>}\\ \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 10</span>}& \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 10</span>}& \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 10</span>}& \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 10</span>}& \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 10</span>}\end{array}\right)}_{\mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; \&times;</span>\mathrm{<span\; class="notranslate">\; 5</span>}}<span\; class="notranslate">\; \&DoubleRightArrow;</span>{\mathrm{<span\; class="notranslate">\; S</span>}}_{{\mathrm{<span\; class="notranslate">\; B</span>}}_{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; C</span>}}<span\; class="notranslate">\; =</span>{\left(\begin{array}{c}\mathrm{<span\; class="notranslate">\; 0.10</span>}\\ \mathrm{<span\; class="notranslate">\; 0.15</span>}\\ \mathrm{<span\; class="notranslate">\; 0.20</span>}\\ \mathrm{<span\; class="notranslate">\; 0.25</span>}\\ \mathrm{<span\; class="notranslate">\; 0.30</span>}\end{array}\right)}_{\mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; \&times;</span>\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; \&DoubleRightArrow;</span>$

${\mathrm{\&lambda;}}_{{\mathrm{max\; B}}_2-C}=5.00\&DoubleRightArrow;{\mathrm{CI}}_{B_2-C}=0\&DoubleRightArrow;{\mathrm{CR}}_{B_2-C}={\mathrm{CI}}_{B_2-C}/RI=0/1.12=0<0.10\&DoubleRightArrow;$ Judgment matrix B ₂ -C meets the consistency requirement.

(4) The consistency test results of the judgment matrix B ₃ -C are as follows.

${\mathrm{<span\; class="notranslate">\; B</span>}}_{\mathrm{<span\; class="notranslate">\; 3</span>}}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; C</span>}<span\; class="notranslate">\; =</span>{\left(\begin{array}{ccccc}\mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 25</span>}& \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 25</span>}& \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 25</span>}& \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 25</span>}& \mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 25</span>}\\ \mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 25</span>}& \mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 25</span>}& \mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 25</span>}& \mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 25</span>}& \mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 25</span>}\\ \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}\\ \mathrm{<span\; class="notranslate">\; 6</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 25</span>}& \mathrm{<span\; class="notranslate">\; 6</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 25</span>}& \mathrm{<span\; class="notranslate">\; 6</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 25</span>}& \mathrm{<span\; class="notranslate">\; 6</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 25</span>}& \mathrm{<span\; class="notranslate">\; 6</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 25</span>}\\ \mathrm{<span\; class="notranslate">\; 7</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 25</span>}& \mathrm{<span\; class="notranslate">\; 7</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 25</span>}& \mathrm{<span\; class="notranslate">\; 7</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 25</span>}& \mathrm{<span\; class="notranslate">\; 7</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 25</span>}& \mathrm{<span\; class="notranslate">\; 7</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 25</span>}\end{array}\right)}_{\mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; \&times;</span>\mathrm{<span\; class="notranslate">\; 5</span>}}<span\; class="notranslate">\; \&DoubleRightArrow;</span>{\mathrm{<span\; class="notranslate">\; S</span>}}_{{\mathrm{<span\; class="notranslate">\; B</span>}}_{\mathrm{<span\; class="notranslate">\; 3</span>}}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; C</span>}}<span\; class="notranslate">\; =</span>{\left(\begin{array}{c}\mathrm{<span\; class="notranslate">\; 0.12</span>}\\ \mathrm{<span\; class="notranslate">\; 0.16</span>}\\ \mathrm{<span\; class="notranslate">\; 0.20</span>}\\ \mathrm{<span\; class="notranslate">\; 0.24</span>}\\ \mathrm{<span\; class="notranslate">\; 0.28</span>}\end{array}\right)}_{\mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; \&times;</span>\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; \&DoubleRightArrow;</span>$

${\mathrm{\&lambda;}}_{{\mathrm{max\; B}}_3-C}=5.00\&DoubleRightArrow;{\mathrm{CI}}_{B_3-C}=0\&DoubleRightArrow;{\mathrm{CR}}_{B_3-C}={\mathrm{CI}}_{B_3-C}/RI=0/1.12=0<0.10\&DoubleRightArrow;$ Judgment matrix B ₃ -C meets the consistency requirement.

(5) The consistency test results of the judgment matrix B ₄ -C are as follows.

${\mathrm{<span\; class="notranslate">\; B</span>}}_{\mathrm{<span\; class="notranslate">\; 4</span>}}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; C</span>}<span\; class="notranslate">\; =</span>{\left(\begin{array}{ccccc}\mathrm{<span\; class="notranslate">\; 2</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 15</span>}& \mathrm{<span\; class="notranslate">\; 2</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 15</span>}& \mathrm{<span\; class="notranslate">\; 2</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 15</span>}& \mathrm{<span\; class="notranslate">\; 2</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 15</span>}& \mathrm{<span\; class="notranslate">\; 2</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 15</span>}\\ \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 6</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 6</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 6</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 6</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 6</span>}\\ \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}\\ \mathrm{<span\; class="notranslate">\; 7</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 30</span>}& \mathrm{<span\; class="notranslate">\; 7</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 30</span>}& \mathrm{<span\; class="notranslate">\; 7</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 30</span>}& \mathrm{<span\; class="notranslate">\; 7</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 30</span>}& \mathrm{<span\; class="notranslate">\; 7</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 30</span>}\\ \mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 15</span>}& \mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 15</span>}& \mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 15</span>}& \mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 15</span>}& \mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 15</span>}\end{array}\right)}_{\mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; \&times;</span>\mathrm{<span\; class="notranslate">\; 5</span>}}<span\; class="notranslate">\; \&DoubleRightArrow;</span>{\mathrm{<span\; class="notranslate">\; S</span>}}_{{\mathrm{<span\; class="notranslate">\; B</span>}}_{\mathrm{<span\; class="notranslate">\; 4</span>}}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; C</span>}}<span\; class="notranslate">\; =</span>{\left(\begin{array}{c}\mathrm{<span\; class="notranslate">\; 0.13</span>}\\ \mathrm{<span\; class="notranslate">\; 0.17</span>}\\ \mathrm{<span\; class="notranslate">\; 0.20</span>}\\ \mathrm{<span\; class="notranslate">\; 0.23</span>}\\ \mathrm{<span\; class="notranslate">\; 0.27</span>}\end{array}\right)}_{\mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; \&times;</span>\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; \&DoubleRightArrow;</span>$

${\mathrm{<span\; class="notranslate">\; \&lambda;</span>}}_{{\mathrm{<span\; class="notranslate">\; max\; B</span>}}_{\mathrm{<span\; class="notranslate">\; 4</span>}}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; C</span>}}<span\; class="notranslate">\; =</span>\mathrm{<span\; class="notranslate">\; 5.01</span>}<span\; class="notranslate">\; \&DoubleRightArrow;</span>{\mathrm{<span\; class="notranslate">\; CI</span>}}_{{\mathrm{<span\; class="notranslate">\; B</span>}}_{\mathrm{<span\; class="notranslate">\; 4</span>}}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; C</span>}}<span\; class="notranslate">\; =</span>\mathrm{<span\; class="notranslate">\; 0.01</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; =</span>\mathrm{<span\; class="notranslate">\; 0.0025</span>}<span\; class="notranslate">\; \&DoubleRightArrow;</span>$

${\mathrm{CR}}_{B_4-C}={\mathrm{CI}}_{B_4-C}/RI=0.0025/1.12=0.0022<0.10\&DoubleRightArrow;$ Judgment matrix B ₄ -C meets the consistency requirement.

(5) The consistency test results of the judgment matrix B ₅ -C are as follows.

${\mathrm{<span\; class="notranslate">\; B</span>}}_{\mathrm{<span\; class="notranslate">\; 5</span>}}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; C</span>}<span\; class="notranslate">\; =</span>{\left(\begin{array}{ccccc}\mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 7</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 7</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 7</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 7</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 7</span>}\\ \mathrm{<span\; class="notranslate">\; 6</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 35</span>}& \mathrm{<span\; class="notranslate">\; 6</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 35</span>}& \mathrm{<span\; class="notranslate">\; 6</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 35</span>}& \mathrm{<span\; class="notranslate">\; 6</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 35</span>}& \mathrm{<span\; class="notranslate">\; 6</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 35</span>}\\ \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}& \mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}\\ \mathrm{<span\; class="notranslate">\; 8</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 35</span>}& \mathrm{<span\; class="notranslate">\; 8</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 35</span>}& \mathrm{<span\; class="notranslate">\; 8</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 35</span>}& \mathrm{<span\; class="notranslate">\; 8</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 35</span>}& \mathrm{<span\; class="notranslate">\; 8</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 35</span>}\\ \mathrm{<span\; class="notranslate">\; 9</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 35</span>}& \mathrm{<span\; class="notranslate">\; 9</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 35</span>}& \mathrm{<span\; class="notranslate">\; 9</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 35</span>}& \mathrm{<span\; class="notranslate">\; 9</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 35</span>}& \mathrm{<span\; class="notranslate">\; 9</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 35</span>}\end{array}\right)}_{\mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; \&times;</span>\mathrm{<span\; class="notranslate">\; 5</span>}}<span\; class="notranslate">\; \&DoubleRightArrow;</span>{\mathrm{<span\; class="notranslate">\; S</span>}}_{{\mathrm{<span\; class="notranslate">\; B</span>}}_{\mathrm{<span\; class="notranslate">\; 5</span>}}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; C</span>}}<span\; class="notranslate">\; =</span>{\left(\begin{array}{c}\mathrm{<span\; class="notranslate">\; 0.14</span>}\\ \mathrm{<span\; class="notranslate">\; 0.17</span>}\\ \mathrm{<span\; class="notranslate">\; 0.20</span>}\\ \mathrm{<span\; class="notranslate">\; 0.23</span>}\\ \mathrm{<span\; class="notranslate">\; 0.26</span>}\end{array}\right)}_{\mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; \&times;</span>\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; \&DoubleRightArrow;</span>$

${\mathrm{<span\; class="notranslate">\; \&lambda;</span>}}_{{\mathrm{<span\; class="notranslate">\; max\; B</span>}}_{\mathrm{<span\; class="notranslate">\; 5</span>}}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; C</span>}}<span\; class="notranslate">\; =</span>\mathrm{<span\; class="notranslate">\; 5.001</span>}<span\; class="notranslate">\; \&DoubleRightArrow;</span>{\mathrm{<span\; class="notranslate">\; CI</span>}}_{{\mathrm{<span\; class="notranslate">\; B</span>}}_{\mathrm{<span\; class="notranslate">\; 5</span>}}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; C</span>}}<span\; class="notranslate">\; =</span>\mathrm{<span\; class="notranslate">\; 0.001</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; =</span>\mathrm{<span\; class="notranslate">\; 0.00025</span>}<span\; class="notranslate">\; \&DoubleRightArrow;</span>$

${\mathrm{CR}}_{B_5-C}={\mathrm{CI}}_{B_5-C}/RI=0.0025/1.12=0.00022<0.10\&DoubleRightArrow;$ Judgment matrix B ₅ -C meets the consistency requirement.

Step 6) Hierarchical total sorting.

Using the results of the single sorting of the above levels, the combination weight of each level factor is calculated, and the total level sorting is carried out. The weights of the importance of each factor in the lowest layer are calculated, and the importance of each factor is sorted from low to high, so as to obtain the health status of the evaluation objects C1, ..., C5.

The importance of evaluation object C1 =

0.05×0.07+0.15×0.10+0.20×0.12+0.25×0.13+0.35×0.14＝0.124

The importance of evaluation object C2 =

0.05×0.13+0.15×0.15+0.20×0.16+0.25×0.17+0.35×0.17＝0.163

The importance of evaluation object C3 =

0.05×0.20+0.15×0.20+0.20×0.20+0.25×0.20+0.35×0.20＝0.200

The importance of evaluation object C4 =

0.05×0.27+0.15×0.25+0.20×0.24+0.25×0.23+0.35×0.23＝0.237

The importance of evaluation object C5 =

0.05×0.33+0.15×0.30+0.20×0.28+0.25×0.27+0.35×0.26＝0.262

Step 7) According to the importance weight information of the lowest layer relative to the highest layer, the health status evaluation results of the five evaluation objects are obtained.

From the results of the total sorting, it can be seen that the weight of the evaluation object C1 is the smallest, and the health status belongs to the normal category, so its weight is set as the boundary between normal and mildly bad; according to the principle of the largest weight, it can be known that the health status of the evaluation object C5 is the most Oops, it belongs to the serious bad category, so its weight is set as the boundary between mild bad and serious bad; according to the principle of nearest consistency, the health status of other evaluation objects can be determined, so as to obtain the status evaluation results of the evaluation objects. The health status of evaluation objects C1, ..., C5 decreases sequentially. Because the weights of evaluation objects C2, ..., C4 are between evaluation objects C1 and C5, their health status is also between normal and serious bad categories, and evaluation objects The health status of C2, ..., C4 is becoming more and more serious; the weight of evaluation object C4 is closer to the evaluation object C5, so the evaluation object C4 and C5 belong to the serious bad category, and need to pay more attention and seek medical treatment in time; evaluation object C2 , C3 belongs to the mild adverse category, and special attention needs to be paid to proper conditioning to restore the physical condition to the best state, thus completing the screening of the health status of the small group of 5 people in the embodiment. If the data in this embodiment is the physiological parameter information of a single evaluation object at different times, the physical health status of the single evaluation object at different times can be understood through the present invention combined with a real-time monitoring device. The result obtained by the present invention according to the actual calculation example is consistent with the conclusion obtained by consulting the literature in the foregoing, thus proving the effectiveness of the method for evaluating the health status of a human body based on the analytic hierarchy process.

The present invention integrates the information of human physiological parameters such as heart rate, body temperature, blood oxygen saturation, blood pressure and blood sugar, which are currently used to evaluate the health status of the human body, and effectively weakens the errors caused by traditional single parameter evaluation through the fusion of multi-source heterogeneous parameters ;According to the human health status assessment method based on hierarchical analysis, it can not only realize the real-time understanding of the physical health status of a single individual user, but also realize the screening of the physical health status of large-density groups with the same characteristics, while avoiding excessive use of large-scale remote medical servers or databases. Dependence, it can evaluate the health status of the human body more comprehensively, and the evaluation method is simple and reliable, thus improving the practicability, effectiveness and applicability of the human health evaluation method in special environments.

Claims (3)

1. A method for assessing human health status based on hierarchical analysis, characterized in that, comprising the steps of: (1) Construct an assessment model of human health status according to the information of human physiological parameters, wherein the information of human physiological parameters includes heart rate B1, body temperature B2, blood oxygen saturation B3, blood pressure B4, blood sugar B5; Layer B and the lowest layer C are used for the classification and screening of health status of evaluation objects C1, ..., Cm of large-density groups with the same characteristics; The layer is the health status of the evaluation object, which is divided into three levels: normal, mildly unhealthy, and severely unhealthy, also known as the target layer; the middle layer is the physiological parameters of the human body that determine the health status of the evaluation object, also known as the criterion layer; The bottom layer is the evaluation object, also known as the object layer; where m is the number of evaluation objects, which is a natural number; (2) Determine the scale information; (3) Generate a judgment matrix: Compared with the highest level A, the relative importance of each factor in the middle level B is compared, and the judgment matrix A-B is as follows: Compared with the middle layer B, the relative importance of each factor in the lowest layer C is compared, and the judgment matrix B _k -C is as follows: Where m is the number of evaluation objects, k=1,2,3,4,5; (4) Check the consistency of the judgment matrix AB, B _k -C, where the calculation formulas of the consistency index CI and the random consistency ratio CR are respectively: $\begin{array}{cc}\mathrm{<span\; class="notranslate">\; C</span>}\mathrm{<span\; class="notranslate">\; I</span>}<span\; class="notranslate">\; =</span>\frac{{\mathrm{<span\; class="notranslate">\; \&lambda;</span>}}_{\mathrm{<span\; class="notranslate">\; m</span>}\mathrm{<span\; class="notranslate">\; a</span>}\mathrm{<span\; class="notranslate">\; x</span>}}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; no</span>}}{\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1</span>}}& \mathrm{<span\; class="notranslate">\; C</span>}\mathrm{<span\; class="notranslate">\; R</span>}<span\; class="notranslate">\; =</span>\frac{\mathrm{<span\; class="notranslate">\; C</span>}\mathrm{<span\; class="notranslate">\; I</span>}}{\mathrm{<span\; class="notranslate">\; R</span>}\mathrm{<span\; class="notranslate">\; I</span>}}\end{array}$ In the formula, λ _max is the maximum value of the eigenvector of the judgment matrix, n is the number of rows of the judgment matrix, and RI is the average random consistency index; when CR<0.1, it is considered that the judgment matrix meets the consistency requirements, and enters the next step; otherwise It is necessary to return to step (3) to readjust the judgment matrix until it meets the consistency requirements; (5) Carry out hierarchical single sorting and hierarchical total sorting to judgment matrix AB, _Bk -C; (6) According to the relative importance weight information of the lowest layer relative to the highest layer, the health status evaluation results of m evaluation objects are obtained. 2. the human health assessment method based on AHP as claimed in claim 1, is characterized in that, the scale information described in step (2) includes equally important, slightly important, comparatively important, very important, absolutely important, and its scale Degree values are represented by numbers 1, 3, 5, 7, and 9, and 2, 4, 6, and 8 are used to represent the intermediate values of the above relative importance judgments. 3. The method for assessing human health status based on AHP according to claim 1, wherein the number of said assessment objects is m≤20.