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CN117408493B - Cooperative method, system and medium for air defense platform integrated in land - Google Patents

Cooperative method, system and medium for air defense platform integrated in land Download PDF

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CN117408493B
CN117408493B CN202311675700.6A CN202311675700A CN117408493B CN 117408493 B CN117408493 B CN 117408493B CN 202311675700 A CN202311675700 A CN 202311675700A CN 117408493 B CN117408493 B CN 117408493B
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赵文飞
周刚
孙玺菁
陈健
郝树艳
高松
尹思豪
冯明晗
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Naval Aeronautical University
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Abstract

The application provides a method, a system and a medium for cooperating with an air defense platform to be integrated, which belong to the technical field of air defense platforms, and the method comprises the following steps: determining main indexes of the to-be-land air defense cooperative mode selection according to the importance level of the to-be-land guard target; constructing an air defense platform cooperative mode index value, and performing standardization processing to obtain a cooperative mode standard index value; analyzing and determining a real-time index value of the current incoming aircraft, converting the triangular fuzzy number in the real-time index value of the current incoming aircraft into a desired value by utilizing an FC-OWA operator, and carrying out standardized processing on the desired value to obtain a standard desired value; calculating distance difference information between the collaborative mode standard index value and the standard expected value based on the IOWA operator; selecting an optimal cooperative mode according to the distance difference information; and selecting the cooperative mode of the air defense platform through the FC-IOWAD operator, so that the accuracy of the cooperative mode selection of the air defense platform to be integrated is improved.

Description

一种要地一体化防空平台协同方法、系统及介质A collaborative method, system and medium for integrated air defense platforms in strategic areas

技术领域Technical field

本申请涉及要地防空平台协同领域,具体而言,涉及一种要地一体化防空平台协同方法、系统及介质。The present application relates to the field of coordination of air defense platforms in key areas, and specifically, to a method, system and medium for coordination of integrated air defense platforms in key areas.

背景技术Background technique

要地一体化防空面临着多批次、全方位、饱和式的立体化攻击威胁,并且来袭飞行器往往具有超低空、速度快、隐身性强等特性,同时在复杂电磁环境下传感器探测能力降低,严重压缩对空防御纵深。而防空作战时机转瞬即逝,因此在实际防空中,协同方案并非随机或随意制定,可以采用多个相对固定的协同模式。要地一体化防空协同关系十分复杂,不仅需要考虑多要地之间的横向协同,也要考虑“礁海空”之间的纵向协同,还要考虑各平台内部之间的协同等。因此,在信息化条件下的要地防空中,研究多平台协同防空具有重要的意义。Integrated air defense in key areas faces multi-batch, all-round, saturated three-dimensional attack threats, and incoming aircraft often have characteristics such as ultra-low altitude, high speed, and strong stealth. At the same time, the detection capabilities of sensors are reduced in complex electromagnetic environments. , severely compressing the depth of air defense. The opportunity for air defense operations is fleeting, so in actual air defense, coordination plans are not randomly or arbitrarily formulated, and multiple relatively fixed coordination modes can be adopted. The coordinated relationship of integrated air defense in key areas is very complex. It is necessary to consider not only the horizontal coordination between multiple key points, but also the vertical coordination between "reef, sea and air", as well as the internal coordination between each platform. Therefore, in the air defense of important areas under informationized conditions, it is of great significance to study multi-platform coordinated air defense.

协同与分配技术作为防空/反导作战的关键环节,其本身也是一个NP问题,在协同技术模型建立上,常见的方法是利用度量的方法分析指标之间的距离,寻找与战时场景各指标度量最小的协同模式进行求解。常用的度量方法包括欧氏距离、马氏距离、豪斯多夫距离、汉明距离等,这些度量方法易于实现,但是在指标较多的情况下,区分度不高、灵活性不强。针对要地一体化防空高度复杂时变不确定性等问题,面对不同场景的防空态势,设计了典型的协同模式,并根据战场环境的不确定性,利用研究多属性决策理论常用的集结算子来分析选择防空平台协同模式,设计了要地一体化防空平台协同模式选择流程,解决了针对不同空袭场景,要地一体化防空平台协同模式选择问题;针对上述问题,目前亟待有效的技术解决方案。Collaboration and distribution technology, as a key link in air defense/anti-missile operations, itself is also an NP problem. When establishing a collaborative technology model, a common method is to use metric methods to analyze the distance between indicators and find the indicators related to wartime scenarios. The cooperative pattern with the smallest metric is solved. Commonly used measurement methods include Euclidean distance, Mahalanobis distance, Hausdorff distance, Hamming distance, etc. These measurement methods are easy to implement, but when there are many indicators, the distinction is not high and the flexibility is not strong. In order to solve the problems of highly complex and time-varying uncertainties of integrated air defense in key areas, and in the face of air defense situations in different scenarios, a typical coordination model was designed, and based on the uncertainty of the battlefield environment, collective settlement methods commonly used in the study of multi-attribute decision-making theory were used. Zilai analyzed and selected the coordination mode of the air defense platform, and designed the coordination mode selection process of the integrated air defense platform in the strategic area, which solved the problem of selecting the collaborative mode of the integrated air defense platform in the strategic area for different air attack scenarios. In response to the above problems, effective technical solutions are urgently needed. plan.

发明内容Contents of the invention

本申请的目的在于提供一种要地一体化防空平台协同方法、系统及介质,通过FC-IOWAD算子对防空平台协同模式进行选择,提升要地一体化防空平台协同模式选择的精准性。The purpose of this application is to provide a collaborative method, system and medium for an integrated air defense platform in a strategic location, to select the collaboration mode of the air defense platform through the FC-IOWAD operator, and to improve the accuracy of the collaborative mode selection of an integrated air defense platform in a strategic location.

本申请还提供了一种要地一体化防空平台协同方法,包括:This application also provides a collaborative method for integrated air defense platforms in key areas, including:

根据要地的保卫目标的重要等级确定要地防空协同模式选择的主要指标;Determine the main indicators for selecting the air defense coordination mode for key areas based on the importance level of the defense targets in key areas;

构建防空平台协同模式指标值,并进行标准化处理,得到协同模式标准指标值;Construct the collaborative mode index value of the air defense platform and perform standardization processing to obtain the collaborative mode standard index value;

分析确定当前来袭飞行器实时指标值,利用FC-OWA算子将当前来袭飞行器实时指标值中的三角模糊数转化为期望值,并对期望值进行标准化处理,得到标准期望值;Analyze and determine the current real-time indicator value of the incoming aircraft, use the FC-OWA operator to convert the triangular fuzzy number in the current real-time indicator value of the incoming aircraft into an expected value, and standardize the expected value to obtain the standard expected value;

基于IOWA算子计算协同模式标准指标值与标准期望值的距离差异信息;Calculate the distance difference information between the standard index value and the standard expected value of the collaborative mode based on the IOWA operator;

根据距离差异信息选择最优协同模式。Select the optimal collaboration mode based on distance difference information.

可选地,在本申请所述的要地一体化防空平台协同方法中,根据要地的保卫目标的重要等级确定要地防空协同模式选择的主要指标,具体包括:Optionally, in the key area integrated air defense platform collaboration method described in this application, the main indicators for selecting the key area air defense coordination mode are determined according to the importance level of the defense target of the key area, specifically including:

根据要地防空作战的实际情况,将保卫目标重要等级分为3级,3级分别为等级一、等级二与等级三;According to the actual situation of air defense operations in key areas, the importance of defending targets is divided into three levels. The three levels are level one, level two and level three respectively;

等级一包括码头、铁路、公路或医院;等级二包括机场、油料库与军事物资仓库;等级三包括指挥所和阵地;Level one includes docks, railways, highways or hospitals; level two includes airports, oil depots and military supplies warehouses; level three includes command posts and positions;

不同来袭飞行器对目标预期的拦截概率称为期望拦截概率;The expected interception probability of a target by different incoming aircraft is called the expected interception probability;

根据来袭飞行器威胁等级、数量、保卫目标的重要等级和期望拦截概率确定协同模式选择的主要指标。The main indicators for cooperative mode selection are determined based on the threat level and quantity of incoming aircraft, the importance of defending the target and the expected interception probability.

可选地,在本申请所述的要地一体化防空平台协同方法中,根据来袭飞行器威胁等级、数量、保卫目标的重要等级和期望拦截概率确定协同模式选择的主要指标,还包括:根据来袭飞行器飞行特点,构建来袭飞行器威胁指标,来袭飞行器威胁指标包括来袭飞行器类型、来袭飞行器速度、来袭飞行器高度、来袭飞行器隐身性能与来袭飞行器航向角;Optionally, in the key area integrated air defense platform collaboration method described in this application, the main indicators for selecting the collaboration mode are determined based on the threat level and quantity of the incoming aircraft, the importance level of the defense target and the expected interception probability, and also include: Based on the flight characteristics of the incoming aircraft, the threat indicators of the incoming aircraft are constructed. The threat indicators of the incoming aircraft include the type of the incoming aircraft, the speed of the incoming aircraft, the altitude of the incoming aircraft, the stealth performance of the incoming aircraft and the heading angle of the incoming aircraft;

根据来袭飞行器威胁指标分析目标威胁等级;Analyze target threat level based on incoming aircraft threat indicators;

通过目标威胁等级对来袭飞行器威胁程度进行量化,来袭飞行器程度包括重大威胁、较大威胁与一般威胁。The threat level of incoming aircraft is quantified through the target threat level. The level of incoming aircraft includes major threat, relatively large threat and general threat.

可选地,在本申请所述的要地一体化防空平台协同方法中,构建防空平台协同模 式指标值,并进行标准化处理,得到协同模式标准指标值,具体包括:设定协同模式为种,种协同模式记为,协同模式的指标集为 ;利 用标准化计算公式对协同模式指标数据进行标准化处理,得到协同模式指标的标准数据, 标准化计算公式为:标准化数据=,第个协同模式指标的标准数据为:Optionally, in the key area integrated air defense platform collaboration method described in this application, the air defense platform collaboration mode index value is constructed and standardized to obtain the collaboration mode standard index value, which specifically includes: setting the collaboration mode to kind, A collaborative model is recorded as , the indicator set of collaborative mode is ; Use the standardized calculation formula to standardize the collaborative mode indicator data to obtain the standard data of the collaborative mode indicator. The standardized calculation formula is: standardized data = , No. The standard data for a collaborative mode indicator is: .

可选地,在本申请所述的要地一体化防空平台协同方法中,确定当前来袭飞行器实时指标值,利用FC-OWA算子将当前来袭飞行器实时指标值中的三角模糊数转化为期望值,并对期望值进行标准化处理,得到标准期望值,具体包括:Optionally, in the key area integrated air defense platform collaboration method described in this application, the real-time indicator value of the current incoming aircraft is determined, and the FC-OWA operator is used to convert the triangular fuzzy number in the real-time indicator value of the current incoming aircraft into Expected value, and standardize the expected value to obtain standard expected value, including:

设定当前来袭飞行器实时指标值 ,利用FC-OWA算子将中的三 角模糊数转化为期望值,期望值计算公式如下:;对期望值进行标准 化处理公式如下:Set the current real-time indicator value of the incoming aircraft , using the FC-OWA operator to The triangular fuzzy numbers in are converted into expected values, and the expected value calculation formula is as follows: ;The formula for normalizing the expected value is as follows: .

可选地,在本申请所述的要地一体化防空平台协同方法中,基于IOWA算子计算协同模式标准指标值与标准期望值的距离差异信息,还包括:Optionally, in the collaborative method of integrated air defense platforms in key areas described in this application, the distance difference information between the standard indicator value of the collaborative mode and the standard expected value is calculated based on the IOWA operator, which also includes:

获取距离差异信息,将距离差异信息与预设的差异信息进行比较,得到偏差率;Obtain the distance difference information, compare the distance difference information with the preset difference information, and obtain the deviation rate;

判断所述偏差率是否大于或等于预设的偏差率阈值;Determine whether the deviation rate is greater than or equal to a preset deviation rate threshold;

若大于或等于,则生成修正信息,根据修正信息调整协同模式标准指标值;If it is greater than or equal to, then correction information is generated, and the collaborative mode standard index value is adjusted according to the correction information;

若小于,则根据距离差异信息选择最优协同模式。If it is less than, the optimal collaboration mode is selected based on the distance difference information.

第二方面,本申请提供了一种要地一体化防空平台协同系统,该系统包括:存储器及处理器,所述存储器中包括要地一体化防空平台协同方法的程序,所述要地一体化防空平台协同方法的程序被所述处理器执行时实现以下步骤:In the second aspect, this application provides a strategic location integrated air defense platform coordination system. The system includes: a memory and a processor. The memory includes a program for the strategic location integrated air defense platform collaboration method. The critical location integrated air defense platform coordination system is included in the memory. When the program of the air defense platform cooperation method is executed by the processor, the following steps are implemented:

根据要地的保卫目标的重要等级确定要地防空协同模式选择的主要指标;Determine the main indicators for selecting the air defense coordination mode for key areas based on the importance level of the defense targets in key areas;

构建防空平台协同模式指标值,并进行标准化处理,得到协同模式标准指标值;Construct the collaborative mode index value of the air defense platform and perform standardization processing to obtain the collaborative mode standard index value;

分析确定当前来袭飞行器实时指标值,利用FC-OWA算子将当前来袭飞行器实时指标值中的三角模糊数转化为期望值,并对期望值进行标准化处理,得到标准期望值;Analyze and determine the current real-time indicator value of the incoming aircraft, use the FC-OWA operator to convert the triangular fuzzy number in the current real-time indicator value of the incoming aircraft into an expected value, and standardize the expected value to obtain the standard expected value;

基于IOWA算子计算协同模式标准指标值与标准期望值的距离差异信息;Calculate the distance difference information between the standard index value and the standard expected value of the collaborative mode based on the IOWA operator;

根据距离差异信息选择最优协同模式。Select the optimal collaboration mode based on distance difference information.

可选地,在本申请所述的要地一体化防空平台协同系统中,根据要地的保卫目标的重要等级确定要地防空协同模式选择的主要指标,具体包括:Optionally, in the key area integrated air defense platform coordination system described in this application, the main indicators for selecting the key area air defense coordination mode are determined according to the importance level of the defense target of the key area, specifically including:

根据要地防空作战的实际情况,将保卫目标重要等级分为3级,3级分别为等级一、等级二与等级三;According to the actual situation of air defense operations in key areas, the importance of defending targets is divided into three levels. The three levels are level one, level two and level three respectively;

等级一包括码头、铁路、公路或医院;等级二包括机场、油料库与军事物资仓库;等级三包括指挥所和阵地;Level one includes docks, railways, highways or hospitals; level two includes airports, oil depots and military supplies warehouses; level three includes command posts and positions;

根据不同的来袭飞行器和不同的作战样式,对目标预期的拦截概率称为期望拦截概率;According to different incoming aircraft and different combat styles, the expected interception probability of the target is called the expected interception probability;

根据来袭飞行器威胁等级、数量、保卫目标的重要等级和期望拦截概率确定协同模式选择的主要指标。The main indicators for cooperative mode selection are determined based on the threat level and quantity of incoming aircraft, the importance of defending the target and the expected interception probability.

可选地,在本申请所述的要地一体化防空平台协同系统中,根据来袭飞行器威胁等级、数量、保卫目标的重要等级和期望拦截概率确定协同模式选择的主要指标,还包括:Optionally, in the key area integrated air defense platform coordination system described in this application, the main indicators for selecting the coordination mode are determined based on the threat level and quantity of the incoming aircraft, the importance level of the defense target and the expected interception probability, and also include:

根据来袭飞行器飞行特点,构建来袭飞行器威胁指标,来袭飞行器威胁指标包括来袭飞行器类型、来袭飞行器速度、来袭飞行器高度、来袭飞行器隐身性能与来袭飞行器航向角;Based on the flight characteristics of the incoming aircraft, the threat indicators of the incoming aircraft are constructed. The threat indicators of the incoming aircraft include the type of the incoming aircraft, the speed of the incoming aircraft, the altitude of the incoming aircraft, the stealth performance of the incoming aircraft and the heading angle of the incoming aircraft;

根据来袭飞行器威胁指标分析目标威胁等级;通过目标威胁等级对来袭飞行器威胁程度进行量化,来袭飞行器程度包括重大威胁、较大威胁与一般威胁。Analyze the target threat level based on the incoming aircraft threat indicators; quantify the threat level of the incoming aircraft through the target threat level. The level of the incoming aircraft includes major threats, major threats and general threats.

第三方面,本申请还提供了一种计算机可读存储介质,所述计算机可读存储介质中包括要地一体化防空平台协同方法程序,所述要地一体化防空平台协同方法程序被处理器执行时,实现如上述任一项所述的要地一体化防空平台协同方法的步骤。In a third aspect, the present application also provides a computer-readable storage medium. The computer-readable storage medium includes a coordinated method program for an integrated air defense platform at a strategic location. The coordinated method program for an integrated air defense platform at a strategic location is processed by a processor. When executed, the steps of the key area integrated air defense platform coordination method as described in any of the above items are realized.

由上可知,本申请提供的一种要地一体化防空平台协同方法、系统及介质,通过要地的保卫目标的重要等级确定要地防空协同模式选择的主要指标;构建防空平台协同模式指标值,并进行标准化处理,得到协同模式标准指标值;分析确定当前来袭飞行器实时指标值,利用FC-OWA算子将当前来袭飞行器实时指标值中的三角模糊数转化为期望值,并对期望值进行标准化处理,得到标准期望值;基于IOWA算子计算协同模式标准指标值与标准期望值的距离差异信息;根据距离差异信息选择最优协同模式;通过FC-IOWAD算子对防空平台协同模式进行选择,提升要地一体化防空平台协同模式选择的精准性。It can be seen from the above that the method, system and medium for collaboration of an integrated air defense platform in a strategic location provided by this application determine the main indicators for the selection of the collaborative mode of air defense in the strategic location through the importance level of the defense target in the strategic location; construct the index value of the collaborative mode of the air defense platform , and carry out standardization processing to obtain the standard indicator value of the collaborative mode; analyze and determine the real-time indicator value of the current incoming aircraft, use the FC-OWA operator to convert the triangular fuzzy number in the real-time indicator value of the current incoming aircraft into an expected value, and perform the expected value Standardize the process to obtain the standard expected value; calculate the distance difference information between the standard indicator value and the standard expected value of the collaboration mode based on the IOWA operator; select the optimal collaboration mode based on the distance difference information; select the air defense platform collaboration mode through the FC-IOWAD operator to improve Accuracy in the selection of coordination modes for integrated air defense platforms in strategic locations.

附图说明Description of drawings

为了更清楚地说明本申请实施例的技术方案,下面将对本申请实施例中所需要使用的附图作简单地介绍,应当理解,以下附图仅示出了本申请的某些实施例,因此不应被看作是对范围的限定,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他相关的附图。In order to more clearly illustrate the technical solutions of the embodiments of the present application, the drawings required to be used in the embodiments of the present application will be briefly introduced below. It should be understood that the following drawings only show some embodiments of the present application, therefore This should not be regarded as limiting the scope. For those of ordinary skill in the art, other relevant drawings can be obtained based on these drawings without exerting creative efforts.

图1为本申请实施例提供的要地一体化防空平台协同方法的流程图;Figure 1 is a flow chart of the key area integrated air defense platform collaboration method provided by the embodiment of the present application;

图2为本申请实施例提供的要地一体化防空平台协同方法的协同模式选择的主要指标流程图;Figure 2 is a flow chart of main indicators for selecting a collaboration mode for the collaborative method of integrated air defense platforms in key areas provided by the embodiment of the present application;

图3为本申请实施例提供的要地一体化防空平台协同方法的目标威胁等级分析流程图。Figure 3 is a flow chart of target threat level analysis of the key area integrated air defense platform collaboration method provided by the embodiment of the present application.

具体实施方式Detailed ways

下面将结合本申请实施例中附图,对本申请实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅仅是本申请一部分实施例,而不是全部的实施例。通常在此处附图中描述和示出的本申请实施例的组件可以以各种不同的配置来布置和设计。因此,以下对在附图中提供的本申请的实施例的详细描述并非旨在限制要求保护的本申请的范围,而是仅仅表示本申请的选定实施例。基于本申请的实施例,本领域技术人员在没有做出创造性劳动的前提下所获得的所有其他实施例,都属于本申请保护的范围。The technical solutions in the embodiments of the present application will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present application. Obviously, the described embodiments are only some of the embodiments of the present application, rather than all of the embodiments. The components of the embodiments of the present application generally described and illustrated in the figures herein may be arranged and designed in a variety of different configurations. Accordingly, the following detailed description of the embodiments of the application provided in the appended drawings is not intended to limit the scope of the claimed application, but rather to represent selected embodiments of the application. Based on the embodiments of this application, all other embodiments obtained by those skilled in the art without any creative work shall fall within the scope of protection of this application.

应注意到,相似的标号和字母在下面的附图中表示类似项,因此,一旦某一项在一个附图中被定义,则在随后的附图中不需要对其进行进一步定义和解释。同时,在本申请的描述中,术语“第一”、“第二”等仅用于区分描述,而不能理解为指示或暗示相对重要性。It should be noted that similar reference numerals and letters represent similar items in the following figures, therefore, once an item is defined in one figure, it does not need further definition and explanation in subsequent figures. Meanwhile, in the description of the present application, the terms "first", "second", etc. are only used to differentiate the description and cannot be understood as indicating or implying relative importance.

请参照图1,图1是本申请一些实施例中的一种要地一体化防空平台协同方法的流程图。该要地一体化防空平台协同方法用于终端设备中,该要地一体化防空平台协同方法,包括以下步骤:Please refer to Figure 1, which is a flow chart of a key area integrated air defense platform collaboration method in some embodiments of the present application. The collaboration method of the strategic area integrated air defense platform is used in terminal equipment. The collaboration method of the strategic location integrated air defense platform includes the following steps:

S101,根据要地的保卫目标的重要等级确定要地防空协同模式选择的主要指标;S101, determine the main indicators for selecting the air defense coordination mode of the important area based on the importance level of the defense target in the important area;

S102,构建防空平台协同模式指标值,并进行标准化处理,得到协同模式标准指标值;S102. Construct the collaborative mode index value of the air defense platform and perform standardization processing to obtain the collaborative mode standard index value;

S103,分析确定当前来袭飞行器实时指标值,利用FC-OWA算子将当前来袭飞行器实时指标值中的三角模糊数转化为期望值,并对期望值进行标准化处理,得到标准期望值;S103, analyze and determine the current real-time indicator value of the incoming aircraft, use the FC-OWA operator to convert the triangular fuzzy number in the current real-time indicator value of the incoming aircraft into an expected value, and standardize the expected value to obtain the standard expected value;

S104,基于IOWA算子计算协同模式标准指标值与标准期望值的距离差异信息;S104. Calculate the distance difference information between the standard index value of the collaboration mode and the standard expected value based on the IOWA operator;

S105,根据距离差异信息选择最优协同模式。S105: Select the optimal collaboration mode based on the distance difference information.

需要说明的是,要地防空平台协同模式主要从以下三个方面来考虑:协同方式,射击方式和拦截弹数量;要地一体化防空协同方式包含地面防空平台(要地防空)、水面防空平台协同要地防空(礁海协同)、空中防空平台协同要地防空(礁空协同)和水面防空平台与空中防空平台协同要地防空(礁海空协同);要地防空拦截模式主要有两种形式:射击-观察-射击和射击-射击。It should be noted that the coordination model of key area air defense platforms is mainly considered from the following three aspects: coordination method, shooting method and number of interceptors; the key area integrated air defense coordination mode includes ground air defense platforms (key area air defense), surface air defense platforms Collaborative air defense for key areas (reef-sea coordination), air defense platforms for air defense for key areas (reef-air coordination), and surface air defense platforms and air defense platforms for air defense for key areas (reef-sea-air coordination). There are two main air defense interception modes for key areas. Form: shoot-observe-shoot and shoot-shoot.

影响要地防空平台协同模式选择的因素较多,根据要地防空平台协同的特点,本节将来袭飞行器威胁等级、数量、保卫目标重要等级和期望拦截概率作为防空平台协同模式的选择指标进行分析。There are many factors that affect the selection of collaboration modes of air defense platforms in key areas. According to the characteristics of collaboration of air defense platforms in key areas, this section will analyze the threat level, quantity, importance level of defense targets and expected interception probability of incoming aircraft as the selection indicators of the coordination mode of air defense platforms. .

请参照图2,图2是本申请一些实施例中的一种要地一体化防空平台协同方法的协同模式选择的主要指标流程图。根据本发明实施例,根据要地的保卫目标的重要等级确定要地防空协同模式选择的主要指标,具体包括:Please refer to Figure 2. Figure 2 is a flow chart of main indicators for selecting a coordination mode of a key area integrated air defense platform coordination method in some embodiments of the present application. According to the embodiment of the present invention, the main indicators for selecting the air defense coordination mode of the important area are determined according to the importance level of the defense target of the important area, specifically including:

S201,根据要地防空作战的实际情况,将保卫目标重要等级分为3级,3级分别为等级一、等级二与等级三;S201, based on the actual situation of air defense operations in key areas, the importance of defending targets is divided into three levels. The three levels are level one, level two and level three;

S202,等级一包括码头、铁路、公路或医院;等级二包括机场、油料库与军事物资仓库;等级三包括指挥所和阵地;S202, level one includes docks, railways, highways or hospitals; level two includes airports, oil depots and military supplies warehouses; level three includes command posts and positions;

S203,根据不同的来袭飞行器和不同的作战样式,对目标预期的拦截概率称为期望拦截概率;S203, according to different incoming aircraft and different combat styles, the expected interception probability of the target is called the expected interception probability;

S204,根据来袭飞行器威胁等级、数量、保卫目标的重要等级和期望拦截概率确定协同模式选择的主要指标。S204: Determine the main indicators for collaborative mode selection based on the threat level and quantity of the incoming aircraft, the importance level of the defense target and the expected interception probability.

根据来袭飞行器特点,可将来袭飞行器采用的飞行模式分为高空隐身突防、低空飞行突防、特殊航线突防、开辟空中走廊突防或利用夜间或复杂气象条件突防等五种空袭样式。According to the characteristics of the incoming aircraft, the flight modes used by the incoming aircraft can be divided into five air attack styles: high-altitude stealth penetration, low-altitude flight penetration, special route penetration, opening up air corridor penetration, or utilizing night or complex weather conditions to penetrate. .

请参照图3,图3是本申请一些实施例中的一种要地一体化防空平台协同方法的目标威胁等级分析流程图。根据本发明实施例,根据来袭飞行器威胁等级、数量、保卫目标的重要等级和期望拦截概率确定协同模式选择的主要指标,还包括:Please refer to Figure 3. Figure 3 is a target threat level analysis flow chart of a key area integrated air defense platform collaboration method in some embodiments of the present application. According to the embodiment of the present invention, the main indicators for cooperative mode selection are determined based on the threat level and quantity of incoming aircraft, the importance level of the defense target and the expected interception probability, and also include:

S301,根据来袭飞行器飞行特点,构建来袭飞行器威胁指标,来袭飞行器威胁指标包括来袭飞行器类型、来袭飞行器速度、来袭飞行器高度、来袭飞行器隐身性能与来袭飞行器航向角;S301, based on the flight characteristics of the incoming aircraft, construct the incoming aircraft threat indicators. The incoming aircraft threat indicators include the incoming aircraft type, the incoming aircraft speed, the incoming aircraft altitude, the incoming aircraft stealth performance and the incoming aircraft heading angle;

S302,根据来袭飞行器威胁指标分析目标威胁等级;S302, analyze the target threat level based on the incoming aircraft threat indicators;

S303,通过目标威胁等级对来袭飞行器威胁程度进行量化,来袭飞行器程度包括重大威胁、较大威胁与一般威胁。S303: Quantify the threat level of the incoming aircraft through the target threat level. The level of the incoming aircraft includes major threat, relatively large threat and general threat.

需要说明的是,来袭飞行器类型,来袭飞行器类型指标权重记为;来袭飞行器 速度、来袭飞行器速度指标权重记为;来袭飞行器高度、来袭飞行器高度指标权重 记为;来袭飞行器射程、来袭飞行器射程指标权重记为;来袭飞行器隐身性能、来 袭飞行器隐身性能指标权重记为与来袭飞行器航向角、来袭飞行器航向角指标权重记 为,目标威胁等级是对来袭飞行器威胁程度进行量化,是选择协同模式的重要指标,影响 目标威胁等级的因素有很多,根据要地防空作战实际特点,构建来袭飞行器威胁程度指标, 威胁指标量化表如表1所示。 It should be noted that the type of incoming aircraft , the weight of the incoming aircraft type indicator is recorded as ;Incoming aircraft speed , the weight of the incoming aircraft speed index is recorded as ;Incoming aircraft altitude , the weight of the incoming aircraft height indicator is recorded as ;Incoming aircraft range , the weight of the incoming aircraft range indicator is recorded as ;Stealth performance of incoming aircraft , the weight of the incoming aircraft stealth performance index is recorded as and the heading angle of the incoming aircraft , the weight of the heading angle indicator of the incoming aircraft is recorded as , the target threat level quantifies the threat level of the incoming aircraft, and is an important indicator for selecting the coordination mode. There are many factors that affect the target threat level. According to the actual characteristics of air defense operations in key areas, an incoming aircraft threat level indicator is constructed to quantify the threat indicator. The table is shown in Table 1.

表1Table 1

表1中给出了各指标量化方式,每个目标属性都分为3个等级。The quantification method of each indicator is given in Table 1, and each target attribute is divided into 3 levels.

来袭飞行器综合威胁等级计算公式为,将来袭飞行器分为 3个等级,分别代表重大威胁、较大威胁和一般威胁。若来袭飞行器经判断为非常规武器 (核、生化武器等)的概率较大,则可直接认定为重大威胁。 The formula for calculating the comprehensive threat level of incoming aircraft is: , divides incoming aircraft into three levels, representing major threats, major threats and general threats respectively. If the incoming aircraft is judged to have a high probability of being an unconventional weapon (nuclear, biological and chemical weapon, etc.), it can be directly identified as a major threat.

根据本发明实施例,构建防空平台协同模式指标值,并进行标准化处理,得到协同 模式标准指标值,具体包括:设定协同模式为种,种协同模式记为, 协同模式的指标集为 According to the embodiment of the present invention, the collaboration mode index value of the air defense platform is constructed, and standardized processing is performed to obtain the collaboration mode standard index value, which specifically includes: setting the collaboration mode to kind, A collaborative model is recorded as , the indicator set of collaborative mode is ;

利用标准化计算公式对协同模式指标数据进行标准化处理,得到协同模式指标的 标准数据,标准化计算公式为:标准化数据=,第个协同模式指标的标准数据为:The standardized calculation formula is used to standardize the collaborative mode indicator data to obtain the standard data of the collaborative mode indicator. The standardized calculation formula is: standardized data = , No. The standard data for a collaborative mode indicator is: .

根据本发明实施例,确定当前来袭飞行器实时指标值,利用FC-OWA算子将当前来 袭飞行器实时指标值中的三角模糊数转化为期望值,并对期望值进行标准化处理,得到标 准期望值,具体包括:设定当前来袭飞行器实时指标值 ,利用FC-OWA算子 将中的三角模糊数转化为期望值,期望值计算公式如下:;对期望 值进行标准化处理公式如下:According to the embodiment of the present invention, the real-time index value of the current incoming aircraft is determined, the FC-OWA operator is used to convert the triangular fuzzy number in the real-time index value of the current incoming aircraft into an expected value, and the expected value is standardized to obtain the standard expected value. Specifically, Including: setting the real-time indicator value of the current incoming aircraft , using the FC-OWA operator to The triangular fuzzy numbers in are converted into expected values, and the expected value calculation formula is as follows: ;The formula for normalizing the expected value is as follows: .

根据本发明实施例,基于IOWA算子计算协同模式标准指标值与标准期望值的距离差异信息,还包括:获取距离差异信息,将距离差异信息与预设的差异信息进行比较,得到偏差率;判断偏差率是否大于或等于预设的偏差率阈值;若大于或等于,则生成修正信息,根据修正信息调整协同模式标准指标值;若小于,则根据距离差异信息选择最优协同模式。According to the embodiment of the present invention, calculating the distance difference information between the collaborative mode standard index value and the standard expected value based on the IOWA operator also includes: obtaining the distance difference information, comparing the distance difference information with the preset difference information, and obtaining the deviation rate; judging Whether the deviation rate is greater than or equal to the preset deviation rate threshold; if it is greater than or equal, correction information is generated, and the standard index value of the collaboration mode is adjusted based on the correction information; if it is less than the distance difference information, the optimal collaboration mode is selected.

需要说明的是,防空平台协同模式的制定需要根据来袭飞行器威胁等级、数量、保卫目标的重要等级和期望拦截概率来确定,不同的防空情景需要制定不同的防空平台协同模式;模拟要地一体化防空实际场景,制定了15种要地防空空袭场景和协同模式,如表2所示。It should be noted that the formulation of the air defense platform collaboration model needs to be determined based on the threat level and quantity of the incoming aircraft, the importance of the target to be defended and the expected interception probability. Different air defense scenarios require the formulation of different air defense platform collaboration models; simulation of key locations is integrated Based on the actual scenarios of chemical air defense, 15 key air defense and air raid scenarios and coordination modes were developed, as shown in Table 2.

表2Table 2

要地防空协同模式场景,相对应的协同模式如表3所示。For key air defense coordination mode scenarios, the corresponding coordination modes are shown in Table 3.

表3table 3

在要地防空作战中,受自然环境和电子干扰等因素的影响,在探测敌来袭飞行器时往往存在一些不确定的因素。例如来袭飞行器数量、来袭飞行器威胁程度等都有可能存在一定的不确定性,从而在选择算子的设计上,需要考虑不确定情况下有序加权均值距离算子。为此,首先给出连续区间上的OWA算子(continuous ordered weighted averaging,C-OWA),简称C-OWA算子。In strategic air defense operations, affected by factors such as the natural environment and electronic interference, there are often some uncertain factors when detecting enemy aircraft. For example, there may be certain uncertainties in the number of incoming aircraft and the threat level of incoming aircraft. Therefore, in the design of the selection operator, it is necessary to consider the ordered weighted mean distance operator under uncertainty. To this end, the OWA operator (continuous ordered weighted averaging, C-OWA) on the continuous interval is first given, referred to as the C-OWA operator.

,且;其中且满 足:则称为连续区间上的OWA算子,简称C-OWA算子。为BUM 函数(Basic Unit-interval Monotonic)。 set up ,and ;in And satisfy: is called is the OWA operator on the continuous interval, referred to as the C-OWA operator. Is the BUM function (Basic Unit-interval Monotonic).

若令则C-OWA算子可以表示为;不确定情形除了用区间数描述以外,还经常用模糊数进行刻画,常 用的模糊数有三角模糊数和梯形模糊数,本节仅用三角模糊数来研究来袭飞行器的不确定 性。 Ruoring Then the C-OWA operator can be expressed as In addition to describing interval numbers, uncertain situations are often characterized by fuzzy numbers. Commonly used fuzzy numbers include triangular fuzzy numbers and trapezoidal fuzzy numbers. This section only uses triangular fuzzy numbers to study the uncertainty of incoming aircraft.

一个模糊数其特征函数如下则称为三角模糊 数,记为;因模糊数不能直接比较大小,通常将模糊数转化成实数或者期望值来 进行比较。C-OWA算子可对连续型数据进行集结,因此可借助C-OWA算子对模糊数进行集结, 进而对模糊数进行排序。 a fuzzy number Its characteristic function is as follows is called is a triangular fuzzy number, recorded as ; Since fuzzy numbers cannot be compared directly, fuzzy numbers are usually converted into real numbers or expected values for comparison. The C-OWA operator can aggregate continuous data, so the C-OWA operator can be used to aggregate fuzzy numbers and then sort the fuzzy numbers.

设三角模糊数截击区间其中为置信水平,结合 C-OWA算子定义算子如下;称 为模糊C-OWA算子(fuzzy continuous ordered weighted averaging),记为FC-OWA算子。 Let triangular fuzzy number of interception interval in For the confidence level, combined with the C-OWA operator, the operator is defined as follows ;say It is the fuzzy C-OWA operator (fuzzy continuous ordered weighted averaging), recorded as FC-OWA operator.

若令时,;当时,取得最大值,说明决策者偏向模糊数取较大值;当时,取得平均值,说明决策者偏向模糊数取均值;当时,取最小值,说明决策者偏向模糊数取较小值。 Ruoring hour, but ;when hour, Obtaining the maximum value indicates that the decision-maker prefers fuzzy numbers Take the larger value; when hour, Obtaining the average value shows that the decision-maker prefers fuzzy numbers Take the mean; when hour, Taking the minimum value indicates that the decision maker prefers fuzzy numbers Take the smaller value.

为两个三角模糊数,则称为由FC-OWA算子导出的距离,该公式可用于度量两个三角 模糊数的距离。 set up and are two triangular fuzzy numbers, then it is called It is the distance derived by the FC-OWA operator. This formula can be used to measure the distance between two triangular fuzzy numbers.

结合FC-OWA算子和IOWAD算子,下面给出FC-IOWAD算子概念。Combining the FC-OWA operator and the IOWAD operator, the concept of the FC-IOWAD operator is given below.

为两个三角模糊数集,其中 ;其中表示模糊数的距离按照诱导排序向量的第个数 值,为权重向量,;FC-IOWAD算子的集结过程为先利用FC- OWA算子将两个模糊数集转化为期望值实数集,然后再利用IOWAD算子集结两个实数集的差 异性。 set up are two triangular fuzzy number sets, where make ;in Represents fuzzy numbers The distance is according to the induced sorting vector values, is the weight vector, ; The gathering process of the FC-IOWAD operator is to first use the FC-OWA operator to convert the two fuzzy number sets into expected value real number sets, and then use the IOWAD operator to gather the differences between the two real number sets.

用FC-IOWAD算子作为一种距离算子,它满足集结算子的一般性质。The FC-IOWAD operator is used as a distance operator, which satisfies the general properties of set operators.

为FC-IOWAD算子,元素角标的任意置换,则set up is the FC-IOWAD operator, for Any substitution of element subscripts, then ;

证明:由FC-IOWAD算子的定义 ;其中表示模糊数的距离按照诱导排序向量的第 个数值。 Proof: By the definition of FC-IOWAD operator ;in Represents fuzzy numbers The distance is according to the induced sorting vector values.

同理可得,即The same can be said ,Right now .

为任意3个三角模糊数集。 set up is any three triangular fuzzy number sets.

若对任意的,均有,则,由FC-IOWAD算子的定义和FC-OWA算子诱导的距离 公式易证上述结论。 If for any , both ,but , the above conclusion can be easily verified by the definition of FC-IOWAD operator and the distance formula induced by FC-OWA operator.

为任意2个三角模糊数集。若对任意的,均有,则set up is any two sets of triangular fuzzy numbers. If for any , both ,but .

为任意3个三角模糊数集, 则有set up is any three triangular fuzzy number sets, then we have .

证明:根据FC-IOWAD算子的定义则 根据汉明距离三角不等式性质可得;同理可证明FC-IOWAD算子满足 对称性和正定性。从而FC-IOWAD距离算子具有距离和集结算子的双重性质。 Proof: According to the definition of FC-IOWAD operator Then according to the trigonometric inequality property of Hamming distance Available ;Similarly, it can be proved that the FC-IOWAD operator satisfies symmetry and positive certainty. Therefore, the FC-IOWAD distance operator has the dual properties of distance and collective operators.

第二方面,本申请实施例提供了一种要地一体化防空平台协同系统,该系统包括:存储器及处理器,存储器中包括要地一体化防空平台协同方法的程序,要地一体化防空平台协同方法的程序被处理器执行时实现以下步骤:In the second aspect, embodiments of the present application provide a collaborative system for an integrated air defense platform at a strategic location. The system includes a memory and a processor. The memory includes a program for a collaborative method for an integrated air defense platform at a strategic location. The integrated air defense platform at a strategic location When the program of the collaborative method is executed by the processor, the following steps are implemented:

根据要地的保卫目标的重要等级确定要地防空协同模式选择的主要指标;Determine the main indicators for selecting the air defense coordination mode for key areas based on the importance level of the defense targets in key areas;

构建防空平台协同模式指标值,并进行标准化处理,得到协同模式标准指标值;Construct the collaborative mode index value of the air defense platform and perform standardization processing to obtain the collaborative mode standard index value;

分析确定当前来袭飞行器实时指标值,利用FC-OWA算子将当前来袭飞行器实时指标值中的三角模糊数转化为期望值,并对期望值进行标准化处理,得到标准期望值;Analyze and determine the current real-time indicator value of the incoming aircraft, use the FC-OWA operator to convert the triangular fuzzy number in the current real-time indicator value of the incoming aircraft into an expected value, and standardize the expected value to obtain the standard expected value;

基于IOWA算子计算协同模式标准指标值与标准期望值的距离差异信息;Calculate the distance difference information between the standard index value and the standard expected value of the collaborative mode based on the IOWA operator;

根据距离差异信息选择最优协同模式。Select the optimal collaboration mode based on distance difference information.

需要说明的是,要地防空平台协同模式主要从以下三个方面来考虑:协同方式,射击方式和拦截弹数量;要地一体化防空协同方式包含地面防空平台(要地防空)、水面防空平台协同要地防空(礁海协同)、空中防空平台协同要地防空(礁空协同)和水面防空平台与空中防空平台协同要地防空(礁海空协同);要地防空拦截模式主要有两种形式:射击-观察-射击和射击-射击。It should be noted that the coordination model of key area air defense platforms is mainly considered from the following three aspects: coordination method, shooting method and number of interceptors; the key area integrated air defense coordination mode includes ground air defense platforms (key area air defense), surface air defense platforms Collaborative air defense for key areas (reef-sea coordination), air defense platforms for air defense for key areas (reef-air coordination), and surface air defense platforms and air defense platforms for air defense for key areas (reef-sea-air coordination). There are two main air defense interception modes for key areas. Form: shoot-observe-shoot and shoot-shoot.

影响要地防空平台协同模式选择的因素较多,根据要地防空平台协同的特点,本节将来袭飞行器威胁等级、数量、保卫目标重要等级和期望拦截概率作为防空平台协同模式的选择指标进行分析。There are many factors that affect the selection of collaboration modes of air defense platforms in key areas. According to the characteristics of collaboration of air defense platforms in key areas, this section will analyze the threat level, quantity, importance level of defense targets and expected interception probability of incoming aircraft as the selection indicators of the coordination mode of air defense platforms. .

根据本发明实施例,根据要地的保卫目标的重要等级确定要地防空协同模式选择的主要指标,具体包括:According to the embodiment of the present invention, the main indicators for selecting the air defense coordination mode of the important area are determined according to the importance level of the defense target of the important area, specifically including:

根据要地防空的实际情况,将保卫目标重要等级分为3级,3级分别为等级一、等级二与等级三;According to the actual situation of air defense in key areas, the importance of defending targets is divided into three levels. The three levels are level one, level two and level three respectively;

等级一包括码头、铁路、公路或医院;等级二包括机场、油料库与军事物资仓库;等级三包括指挥所和阵地;Level one includes docks, railways, highways or hospitals; level two includes airports, oil depots and military supplies warehouses; level three includes command posts and positions;

根据不同的来袭飞行器和不同的作战样式,对目标预期的拦截概率称为期望拦截概率;According to different incoming aircraft and different combat styles, the expected interception probability of the target is called the expected interception probability;

根据来袭飞行器威胁等级、数量、保卫目标的重要等级和期望拦截概率确定协同模式选择的主要指标。The main indicators for cooperative mode selection are determined based on the threat level and quantity of incoming aircraft, the importance of defending the target and the expected interception probability.

需要说明的是,针对不同的来袭飞行器飞行特点,为了便于协同模式构建,将敌空袭样式具体分为高空隐身突防、低空飞行突防、特殊航线突防、开辟空中走廊突防或利用夜间或复杂气象条件突防等五种空袭样式。It should be noted that based on the flight characteristics of different incoming aircraft, in order to facilitate the construction of collaborative modes, enemy air attack styles are specifically divided into high-altitude stealth penetration, low-altitude flight penetration, special route penetration, opening up air corridors, or using night penetration. or penetration in complex weather conditions and other five air attack styles.

根据本发明实施例,根据来袭飞行器威胁等级、数量、保卫目标的重要等级和期望拦截概率确定协同模式选择的主要指标,还包括:According to the embodiment of the present invention, the main indicators for cooperative mode selection are determined based on the threat level and quantity of incoming aircraft, the importance level of the defense target and the expected interception probability, and also include:

根据来袭飞行器特点,构建来袭飞行器威胁指标,来袭飞行器威胁指标包括来袭飞行器类型、来袭飞行器速度、来袭飞行器高度、来袭飞行器射程、来袭飞行器隐身性能与来袭飞行器航向角;Based on the characteristics of the incoming aircraft, the threat indicators of the incoming aircraft are constructed. The threat indicators of the incoming aircraft include the type of the incoming aircraft, the speed of the incoming aircraft, the altitude of the incoming aircraft, the range of the incoming aircraft, the stealth performance of the incoming aircraft and the heading angle of the incoming aircraft. ;

根据来袭飞行器威胁指标分析目标威胁等级;通过目标威胁等级对来袭飞行器威胁程度进行量化,来袭飞行器程度包括重大威胁、较大威胁与一般威胁。Analyze the target threat level based on the incoming aircraft threat indicators; quantify the threat level of the incoming aircraft through the target threat level. The level of the incoming aircraft includes major threats, major threats and general threats.

需要说明的是,来袭飞行器类型,来袭飞行器类型指标权重记为;来袭飞行器 速度、来袭飞行器速度指标权重记为;来袭飞行器高度、来袭飞行器高度指标权重 记为;来袭飞行器射程、来袭飞行器射程指标权重记为;来袭飞行器隐身性能、来 袭飞行器隐身性能指标权重记为与来袭飞行器航向角、来袭飞行器航向角指标权重记 为,目标威胁等级是对来袭飞行器威胁程度进行量化,是选择协同模式的重要指标,影响 目标威胁等级的因素有很多,根据要地防空作战实际特点,构建来袭飞行器威胁程度指标, 威胁指标量化表如表4所示。 It should be noted that the type of incoming aircraft , the weight of the incoming aircraft type indicator is recorded as ;Incoming aircraft speed , the weight of the incoming aircraft speed index is recorded as ;Incoming aircraft altitude , the weight of the incoming aircraft height indicator is recorded as ;Incoming aircraft range , the weight of the incoming aircraft range indicator is recorded as ;Stealth performance of incoming aircraft , the weight of the incoming aircraft stealth performance index is recorded as and the heading angle of the incoming aircraft , the weight of the heading angle indicator of the incoming aircraft is recorded as , the target threat level quantifies the threat level of the incoming aircraft, and is an important indicator for selecting the coordination mode. There are many factors that affect the target threat level. According to the actual characteristics of air defense operations in key areas, an incoming aircraft threat level indicator is constructed to quantify the threat indicator. The table is shown in Table 4.

表4Table 4

表4中给出了各指标量化方式,每个目标属性都分为3个等级。来袭飞行器综合威 胁等级计算公式为Table 4 gives the quantification method of each indicator, and each target attribute is divided into 3 levels. The formula for calculating the comprehensive threat level of incoming aircraft is: .

将来袭飞行器分为3个等级,分别代表重大威胁、较大威胁和一般威胁。Incoming aircraft are divided into three levels, representing major threats, major threats and general threats respectively.

根据本发明实施例,构建防空平台协同模式指标值,并进行标准化处理,得到协同 模式标准指标值,具体包括:设定协同模式为种,种协同模式记为, 协同模式的指标集为 According to the embodiment of the present invention, the collaboration mode index value of the air defense platform is constructed, and standardized processing is performed to obtain the collaboration mode standard index value, which specifically includes: setting the collaboration mode to kind, A collaborative model is recorded as , the indicator set of collaborative mode is ;

利用标准化计算公式对协同模式指标数据进行标准化处理,得到协同模式指标的 标准数据,标准化计算公式为:标准化数据=,第个协同模式指标的标准数据为:The standardized calculation formula is used to standardize the collaborative mode indicator data to obtain the standard data of the collaborative mode indicator. The standardized calculation formula is: standardized data = , No. The standard data for a collaborative mode indicator is: .

根据本发明实施例,确定当前来袭飞行器实时指标值,利用FC-OWA算子将当前来袭飞行器实时指标值中的三角模糊数转化为期望值,并对期望值进行标准化处理,得到标准期望值,具体包括:According to the embodiment of the present invention, the real-time index value of the current incoming aircraft is determined, the FC-OWA operator is used to convert the triangular fuzzy number in the real-time index value of the current incoming aircraft into an expected value, and the expected value is standardized to obtain the standard expected value. Specifically, include:

设定当前来袭飞行器实时指标值 ,利用FC-OWA算子将中的三 角模糊数转化为期望值,期望值计算公式如下:;对期望值进行标准 化处理公式如下:Set the current real-time indicator value of the incoming aircraft , using the FC-OWA operator to The triangular fuzzy numbers in are converted into expected values, and the expected value calculation formula is as follows: ;The formula for normalizing the expected value is as follows: .

根据本发明实施例,基于IOWA算子计算协同模式标准指标值与标准期望值的距离差异信息,还包括:获取距离差异信息,将距离差异信息与预设的差异信息进行比较,得到偏差率;判断偏差率是否大于或等于预设的偏差率阈值;若大于或等于,则生成修正信息,根据修正信息调整协同模式标准指标值;若小于,则根据距离差异信息选择最优协同模式。According to the embodiment of the present invention, calculating the distance difference information between the collaborative mode standard index value and the standard expected value based on the IOWA operator also includes: obtaining the distance difference information, comparing the distance difference information with the preset difference information, and obtaining the deviation rate; judging Whether the deviation rate is greater than or equal to the preset deviation rate threshold; if it is greater than or equal, correction information is generated, and the standard index value of the collaboration mode is adjusted based on the correction information; if it is less than the distance difference information, the optimal collaboration mode is selected.

需要说明的是,防空平台协同模式的制定需要根据来袭飞行器威胁等级、数量、保卫目标的重要等级和期望拦截概率来确定,不同的战场情景需要制定不同的防空平台协同模式;模拟要地一体化防空作战实际场景,制定了15种要地防空空袭场景和协同模式,要地海防空空袭场景如表5所示。It should be noted that the formulation of the air defense platform collaboration model needs to be determined based on the threat level and quantity of the incoming aircraft, the importance of defending the target and the expected interception probability. Different battlefield scenarios require the formulation of different air defense platform collaboration models; simulation of key locations is integrated Based on the actual scenarios of chemical air defense operations, 15 air defense and air raid scenarios and coordination modes for important areas have been formulated. The air defense and air attack scenarios for important areas and coastal areas are shown in Table 5.

表5table 5

要地防空协同模式场景,相对应的协同模式如表6所示。For key air defense coordination mode scenarios, the corresponding coordination modes are shown in Table 6.

表6Table 6

在要地防空中,受自然环境和电子干扰等因素的影响,在探测敌来袭飞行器时往往存在一些不确定的因素。例如来袭飞行器数量、来袭飞行器威胁程度等都有可能存在一定的不确定性,从而在选择算子的设计上,需要考虑不确定情况下有序加权均值距离算子。为此,首先给出连续区间上的OWA算子,简称C-OWA算子。In strategic air defenses, affected by factors such as the natural environment and electronic interference, there are often some uncertain factors when detecting incoming enemy aircraft. For example, there may be certain uncertainties in the number of incoming aircraft and the threat level of incoming aircraft. Therefore, in the design of the selection operator, it is necessary to consider the ordered weighted mean distance operator under uncertainty. To this end, the OWA operator on the continuous interval, referred to as the C-OWA operator, is first given.

,且;其中且满 足:则称为连续区间上的OWA算子,简称C-OWA算子。为BUM 函数(Basic Unit-interval Monotonic)。 set up ,and ;in And satisfy: is called is the OWA operator on the continuous interval, referred to as the C-OWA operator. Is the BUM function (Basic Unit-interval Monotonic).

若令则C-OWA算子可以表示为Ruoring Then the C-OWA operator can be expressed as .

不确定情形除了用区间数描述以外,还经常用模糊数进行刻画,常用的模糊数有三角模糊数和梯形模糊数,本节仅用三角模糊数来研究来袭飞行器的不确定性。In addition to describing interval numbers, uncertain situations are often characterized by fuzzy numbers. Commonly used fuzzy numbers include triangular fuzzy numbers and trapezoidal fuzzy numbers. This section only uses triangular fuzzy numbers to study the uncertainty of incoming aircraft.

一个模糊数其特征函数如下则称为三角模糊 数,记为;因模糊数不能直接比较大小,通常将模糊数转化成实数或者期望值来 进行比较。C-OWA算子可对连续型数据进行集结,因此可借助C-OWA算子对模糊数进行集结, 进而对模糊数进行排序。 a fuzzy number Its characteristic function is as follows is called is a triangular fuzzy number, recorded as ; Since fuzzy numbers cannot be compared directly, fuzzy numbers are usually converted into real numbers or expected values for comparison. The C-OWA operator can aggregate continuous data, so the C-OWA operator can be used to aggregate fuzzy numbers and then sort the fuzzy numbers.

设三角模糊数截击区间其中为置信水平,结合 C-OWA算子定义算子如下,称 为模糊C-OWA算子,记为FC-OWA算子。 Let triangular fuzzy number of interception interval in For the confidence level, combined with the C-OWA operator, the operator is defined as follows ,say It is the fuzzy C-OWA operator, denoted as FC-OWA operator.

若令时,;当时,取得最大值,说明决策者偏向模糊数取较大值;当时,取得平均值,说明决策者偏向模糊数取均值;当时,取最小值,说明决策者偏向模糊数取较小值。Ruoring hour, but ;when hour, Obtaining the maximum value indicates that the decision-maker prefers fuzzy numbers Take the larger value; when hour, Obtaining the average value shows that the decision-maker prefers fuzzy numbers Take the mean; when hour, Taking the minimum value indicates that the decision maker prefers fuzzy numbers Take the smaller value.

为两个三角模糊数,则称为由FC-OWA算子导出的距离,该公式可用于度量两个三角 模糊数的距离。 set up and are two triangular fuzzy numbers, then it is called It is the distance derived by the FC-OWA operator. This formula can be used to measure the distance between two triangular fuzzy numbers.

结合FC-OWA算子和IOWAD算子,下面给出FC-IOWAD算子概念。Combining the FC-OWA operator and the IOWAD operator, the concept of the FC-IOWAD operator is given below.

为两个三角模糊数集,其中 ;其中表示模糊数的距离按照诱导排序向量的第个数 值,为权重向量,;FC-IOWAD算子的集结过程为先利用FC- OWA算子将两个模糊数集转化为期望值实数集,然后再利用IOWAD算子集结两个实数集的差 异性。 set up are two triangular fuzzy number sets, where make ;in Represents fuzzy numbers The distance is according to the induced sorting vector values, is the weight vector, ; The gathering process of the FC-IOWAD operator is to first use the FC-OWA operator to convert the two fuzzy number sets into expected value real number sets, and then use the IOWAD operator to gather the differences between the two real number sets.

用FC-IOWAD算子作为一种距离算子,它满足集结算子的一般性质。The FC-IOWAD operator is used as a distance operator, which satisfies the general properties of set operators.

为FC-IOWAD算子,元素角标的任意置换,则set up is the FC-IOWAD operator, for Any substitution of element subscripts, then .

证明:由FC-IOWAD算子的定义 ,其中表示模糊数的距离按照诱导排序向量的第 个数值。 Proof: By the definition of FC-IOWAD operator ,in Represents fuzzy numbers The distance is according to the induced sorting vector values.

同理可得The same can be said Right now .

为任意3个三角模糊数集。 若对任意的,均有,则;由FC-IOWAD算子的定义和FC-OWA算子诱导的距离 公式易证上述结论。 set up is any three triangular fuzzy number sets. If for any , both ,but ;The above conclusion can be easily verified by the definition of FC-IOWAD operator and the distance formula induced by FC-OWA operator.

为任意2个三角模糊数集。若对任意的,均有,则set up is any two triangular fuzzy number sets. If for any , both ,but .

为任意3个三角模糊数集, 则有set up is any three triangular fuzzy number sets, then we have .

证明:根据FC-IOWAD算子的定义则 根据汉明距离三角不等式性质可得Proof: According to the definition of FC-IOWAD operator Then according to the trigonometric inequality property of Hamming distance Available .

同理可证明FC-IOWAD算子满足对称性和正定性。从而FC-IOWAD距离算子具有距离和集结算子的双重性质。In the same way, it can be proved that the FC-IOWAD operator satisfies symmetry and positive certainty. Therefore, the FC-IOWAD distance operator has the dual properties of distance and collective operators.

本发明第三方面提供了一种计算机可读存储介质,可读存储介质中包括要地一体化防空平台协同方法程序,要地一体化防空平台协同方法程序被处理器执行时,实现如上述任一项的要地一体化防空平台协同方法的步骤。The third aspect of the present invention provides a computer-readable storage medium. The readable storage medium includes a coordinated method program for an integrated air defense platform. When the coordinated method program for an integrated air defense platform is executed by a processor, any of the above steps are implemented. An important step in the coordinated approach of integrated air defense platforms.

本发明公开的一种要地一体化防空平台协同方法、系统及介质,根据要地的保卫目标的重要等级确定要地防空协同模式选择的主要指标;构建防空平台协同模式指标值,并进行标准化处理,得到协同模式标准指标值;分析确定当前来袭飞行器实时指标值,利用FC-OWA算子将当前来袭飞行器实时指标值中的三角模糊数转化为期望值,并对期望值进行标准化处理,得到标准期望值;基于IOWA算子计算协同模式标准指标值与标准期望值的距离差异信息;根据距离差异信息选择最优协同模式;通过FC-IOWAD算子对防空平台协同模式进行选择,提升要地一体化防空平台协同模式选择的精准性。The invention discloses a key area integrated air defense platform collaboration method, system and medium, which determines the main indicators for key area air defense coordination mode selection according to the importance level of the defense target of the key area; constructs the air defense platform collaboration mode index value and standardizes it Process to obtain the standard index value of the collaborative mode; analyze and determine the real-time index value of the current incoming aircraft, use the FC-OWA operator to convert the triangular fuzzy number in the real-time index value of the current incoming aircraft into an expected value, and standardize the expected value to obtain Standard expected value; calculate the distance difference information between the standard indicator value and the standard expected value of the coordination mode based on the IOWA operator; select the optimal coordination mode based on the distance difference information; select the air defense platform coordination mode through the FC-IOWAD operator to improve the integration of key areas Accuracy of air defense platform collaboration mode selection.

在本申请所提供的几个实施例中,应该理解到,所揭露的设备和方法,可以通过其它的方式实现。以上所描述的设备实施例仅仅是示意性的,例如,单元的划分,仅仅为一种逻辑功能划分,实际实现时可以有另外的划分方式,如:多个单元或组件可以结合,或可以集成到另一个系统,或一些特征可以忽略,或不执行。另外,所显示或讨论的各组成部分相互之间的耦合、或直接耦合、或通信连接可以是通过一些接口,设备或单元的间接耦合或通信连接,可以是电性的、机械的或其它形式的。In the several embodiments provided in this application, it should be understood that the disclosed devices and methods can be implemented in other ways. The device embodiments described above are only illustrative. For example, the division of units is only a logical function division. In actual implementation, there may be other division methods, such as: multiple units or components may be combined or integrated. to another system, or some features can be ignored, or not implemented. In addition, the coupling, direct coupling, or communication connection between the components shown or discussed may be through some interfaces, and the indirect coupling or communication connection of the devices or units may be electrical, mechanical, or other forms. of.

上述作为分离部件说明的单元可以是、或也可以不是物理上分开的,作为单元显示的部件可以是、或也可以不是物理单元;既可以位于一个地方,也可以分布到多个网络单元上;可以根据实际的需要选择其中的部分或全部单元来实现本实施例方案的目的。The units described above as separate components may or may not be physically separated; the components shown as units may or may not be physical units; they may be located in one place or distributed to multiple network units; Some or all of the units can be selected according to actual needs to achieve the purpose of the solution of this embodiment.

另外,在本发明各实施例中的各功能单元可以全部集成在一个处理单元中,也可以是各单元分别单独作为一个单元,也可以两个或两个以上单元集成在一个单元中;上述集成的单元既可以采用硬件的形式实现,也可以采用硬件加软件功能单元的形式实现。In addition, each functional unit in each embodiment of the present invention can be all integrated into one processing unit, or each unit can be separately used as a unit, or two or more units can be integrated into one unit; the above-mentioned integration The unit can be implemented in the form of hardware or in the form of hardware plus software functional units.

本领域普通技术人员可以理解:实现上述方法实施例的全部或部分步骤可以通过程序指令相关的硬件来完成,前述的程序可以存储于可读取存储介质中,该程序在执行时,执行包括上述方法实施例的步骤;而前述的存储介质包括:移动存储设备、只读存储器(ROM,Read-Only Memory)、随机存取存储器(RAM,Random Access Memory)、磁碟或者光盘等各种可以存储程序代码的介质。Those of ordinary skill in the art can understand that all or part of the steps to implement the above method embodiments can be completed through hardware related to program instructions. The aforementioned program can be stored in a readable storage medium. When the program is executed, the execution includes the above The steps of the method embodiment; the aforementioned storage media include: mobile storage devices, read-only memory (ROM, Read-Only Memory), random access memory (RAM, Random Access Memory), magnetic disks or optical disks, etc. that can store The medium for program code.

或者,本发明上述集成的单元如果以软件功能模块的形式实现并作为独立的产品销售或使用时,也可以存储在一个可读取存储介质中。基于这样的理解,本发明实施例的技术方案本质上或者说对现有技术做出贡献的部分可以以软件产品的形式体现出来,该软件产品存储在一个存储介质中,包括若干指令用以使得一台计算机设备(可以是个人计算机、服务器、或者网络设备等)执行本发明各个实施例所述方法的全部或部分。而前述的存储介质包括:移动存储设备、ROM、RAM、磁碟或者光盘等各种可以存储程序代码的介质。Alternatively, if the above-mentioned integrated unit of the present invention is implemented in the form of a software function module and sold or used as an independent product, it can also be stored in a readable storage medium. Based on this understanding, the technical solutions of the embodiments of the present invention can be embodied in the form of software products that are essentially or contribute to the existing technology. The software product is stored in a storage medium and includes a number of instructions to enable A computer device (which may be a personal computer, a server, a network device, etc.) executes all or part of the methods described in various embodiments of the present invention. The aforementioned storage media include: mobile storage devices, ROM, RAM, magnetic disks or optical disks and other media that can store program codes.

Claims (3)

1. The method for cooperating with the integrated air defense platform is characterized by comprising the following steps:
determining main indexes of cooperative mode selection of the air defense platform of the to-be-protected according to the importance level of the to-be-protected target;
constructing an air defense platform cooperative mode index value, and performing standardization processing to obtain a cooperative mode standard index value;
analyzing and determining a real-time index value of the current incoming aircraft, converting the triangular fuzzy number in the real-time index value of the current incoming aircraft into a desired value by utilizing an FC-OWA operator, and carrying out standardized processing on the desired value to obtain a standard desired value;
calculating distance difference information between the collaborative pattern standard index value and the standard expected value based on an induced ordered weighted average operator (Induced ordered weighted averaging, IOWA);
selecting an optimal cooperative mode according to the distance difference information;
the main indexes of the air defense cooperative mode selection of the land are determined according to the importance level of the security target of the land, and specifically comprise:
according to the actual condition of the air combat of the land, the important class of the guard target is divided into 3 classes, wherein the 3 classes are respectively a class one, a class two and a class three;
grade one includes wharf, rail, road or hospital; the second grade comprises an airport, an oil depot and a warehouse; the third level comprises a command post and an array land;
the expected interception probability for an incoming aircraft is referred to as the expected interception probability;
determining main indexes of cooperative mode selection according to threat levels and quantity of the attack aircraft, importance levels of the guard targets and expected interception probability;
determining main indexes of cooperative mode selection according to threat level, number, importance level of a guard target and expected interception probability of an incoming aircraft, and further comprising:
constructing threat indexes of the incoming aircraft according to the flight characteristics of the incoming aircraft, wherein the threat indexes of the incoming aircraft comprise the type of the incoming aircraft, the speed of the incoming aircraft, the altitude of the incoming aircraft, the stealth performance of the incoming aircraft and the course angle of the incoming aircraft;
analyzing a target threat level according to the threat indexes of the incoming aircraft;
quantifying the threat level of the aircraft of attack by the target threat level, wherein the aircraft level of attack comprises a major threat, a larger threat and a general threat;
constructing an air defense platform cooperative mode index value, and performing standardized processing to obtain a cooperative mode standard index value, wherein the method specifically comprises the following steps of:
setting the cooperative mode asSeed (L.) of (L>The species synergy pattern is marked as->The index set of the cooperative mode is
And carrying out standardized processing on the cooperative mode index data by using a standardized calculation formula to obtain standard data of the cooperative mode index, wherein the standardized calculation formula is as follows:
normalized data =The method comprises the steps of carrying out a first treatment on the surface of the First->Standard data of the individual cooperative mode index are: />
Determining a current attack aircraft real-time index value, converting a triangle fuzzy number in the current attack aircraft real-time index value into a desired value by utilizing an FC-OWA operator, and carrying out standardization processing on the desired value to obtain a standard desired value, wherein the method specifically comprises the following steps of:
setting a real-time index value of a current attack aircraftThe FC-OWA operator is used for adding +.>The triangular fuzzy number in the model is converted into a desired value, and the calculation formula of the desired value is as follows: />
The normalization processing formula for the expected value is as follows:
calculating distance difference information between the collaborative mode standard index value and the standard expected value based on the IOWA operator, and further comprising:
obtaining distance difference information, and comparing the distance difference information with preset difference information to obtain a deviation rate;
judging whether the deviation rate is larger than or equal to a preset deviation rate threshold value;
if the index value is greater than or equal to the preset index value, generating correction information, and adjusting the collaborative mode standard index value according to the correction information;
and if the distance difference information is smaller than the preset value, selecting an optimal cooperative mode according to the distance difference information.
2. A to-be-ground integrated air defense platform cooperative system, comprising: the system comprises a memory and a processor, wherein the memory comprises a program of a to-be-integrated air defense platform cooperative method, and the program of the to-be-integrated air defense platform cooperative method realizes the following steps when being executed by the processor:
determining main indexes of the to-be-land air defense cooperative mode selection according to the importance level of the to-be-land guard target;
constructing an air defense platform cooperative mode index value, and performing standardization processing to obtain a cooperative mode standard index value;
analyzing and determining a real-time index value of the current incoming aircraft, converting the triangular fuzzy number in the real-time index value of the current incoming aircraft into a desired value by utilizing an FC-OWA operator, and carrying out standardized processing on the desired value to obtain a standard desired value;
calculating distance difference information between the collaborative mode standard index value and the standard expected value based on the IOWA operator;
selecting an optimal cooperative mode according to the distance difference information;
the main indexes of the air defense cooperative mode selection of the land are determined according to the importance level of the security target of the land, and specifically comprise:
according to the actual condition of the air combat of the land, the important class of the guard target is divided into 3 classes, wherein the 3 classes are respectively a class one, a class two and a class three;
grade one includes wharf, rail, road or hospital; the second grade comprises an airport, an oil depot and a warehouse; the third level comprises a command post and an array land;
according to different incoming aircrafts and different flight patterns, the expected interception probability of the target is called expected interception probability;
determining main indexes of cooperative mode selection according to threat levels and quantity of the attack aircraft, importance levels of the guard targets and expected interception probability;
determining main indexes of cooperative mode selection according to threat level, number, importance level of a guard target and expected interception probability of an incoming aircraft, and further comprising:
constructing threat indexes of the incoming aircraft according to the flight characteristics of the incoming aircraft, wherein the threat indexes of the incoming aircraft comprise the type of the incoming aircraft, the speed of the incoming aircraft, the altitude of the incoming aircraft, the stealth performance of the incoming aircraft and the course angle of the incoming aircraft;
analyzing a target threat level according to the threat indexes of the incoming aircraft;
quantifying the threat level of the aircraft of attack by the target threat level, wherein the aircraft level of attack comprises a major threat, a larger threat and a general threat;
constructing an air defense platform cooperative mode index value, and performing standardized processing to obtain a cooperative mode standard index value, wherein the method specifically comprises the following steps of:
setting the cooperative mode asSeed (L.) of (L>The species synergy pattern is marked as->The index set of the cooperative mode is
And carrying out standardized processing on the cooperative mode index data by using a standardized calculation formula to obtain standard data of the cooperative mode index, wherein the standardized calculation formula is as follows:
normalized data =The method comprises the steps of carrying out a first treatment on the surface of the First->Standard data of the individual cooperative mode index are: />
Determining a current attack aircraft real-time index value, converting a triangle fuzzy number in the current attack aircraft real-time index value into a desired value by utilizing an FC-OWA operator, and carrying out standardization processing on the desired value to obtain a standard desired value, wherein the method specifically comprises the following steps of:
setting a real-time index value of a current attack aircraftThe FC-OWA operator is used for adding +.>The triangular fuzzy number in the model is converted into a desired value, and the calculation formula of the desired value is as follows: />
The normalization processing formula for the expected value is as follows:
calculating distance difference information between the collaborative mode standard index value and the standard expected value based on the IOWA operator, and further comprising:
obtaining distance difference information, and comparing the distance difference information with preset difference information to obtain a deviation rate;
judging whether the deviation rate is larger than or equal to a preset deviation rate threshold value;
if the index value is greater than or equal to the preset index value, generating correction information, and adjusting the collaborative mode standard index value according to the correction information;
and if the distance difference information is smaller than the preset value, selecting an optimal cooperative mode according to the distance difference information.
3. A computer-readable storage medium, wherein the computer-readable storage medium includes a to-be-integrated air defense platform cooperation method program, and when the to-be-integrated air defense platform cooperation method program is executed by a processor, the steps of the to-be-integrated air defense platform cooperation method according to claim 1 are implemented.
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