Abstract: In this paper, we investigate the multiple attribute decision making (MADM) problem for software quality evaluation based on the geometric aggregation operators with hesitant fuzzy uncertain linguistic information. Then, motivated by the ideal of traditional geometric operation, we have developed some geometric aggregation operators for aggregating hesitant fuzzy uncertain linguistic information. The prominent characteristic of these proposed operators are studied. Then, we have utilized these operators to develop some approaches to solve the hesitant fuzzy uncertain linguistic multiple attribute decision making problems. Finally, a practical example for software quality evaluation is given to verify the developed approach and to demonstrate…its practicality and effectiveness.
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Keywords: Multiple attribute decision making (MADM), hesitant fuzzy uncertain linguistic values, hesitant fuzzy uncertain linguistic geometric aggregation operators, software quality evaluation
Abstract: We investigate the multiple attribute decision making (MADM) problems in which attribute values take the form of hesitant fuzzy information. Firstly, some operational laws of hesitant fuzzy elements and score function of hesitant fuzzy elements are introduced. In this paper, we utilize Einstein operations to develop some hesitant fuzzy correlated aggregation operators: hesitant fuzzy Einstein correlated averaging (HFECA) operator and hesitant fuzzy Einstein correlated geometric (HFECG) operator. The prominent characteristic of the operators is that they can not only consider the importance of the elements or their ordered positions, but also reflect the correlation among the elements or their ordered…positions. We have applied the HFECA and HFECG operators to multiple attribute decision making with hesitant fuzzy information. Finally an illustrative example has been given to show the developed method.
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Keywords: Multiple attribute decision making (MADM), hesitant fuzzy elements, operational laws, hesitant fuzzy Einstein correlated averaging (HFECA) operator, hesitant fuzzy Einstein correlated geometric (HFECG) operator
Abstract: In this paper, we investigate the linguistic multiple attribute group decision making (MADM) problems in which the attributes and experts are in different priority level. Motivated by the ideal of prioritized aggregation operators (R.R. Yager, Prioritized aggregation operators, International Journal of Approximate Reasoning 48(2008) 263-274.), we develop some prioritized aggregation operators for aggregating linguistic information, and then apply them to develop some models for linguistic multiple attribute group decision making (MAGDM) problems in which the attributes and experts are in different priority level. Finally, a practical example about talent introduction is given to verify the developed approach and to demonstrate…its practicality and effectiveness.
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Keywords: Multiple attribute group decision making (MAGDM), linguistic information, prioritized aggregation operators, 2-tuple linguistic prioritized weighted average (2TLPWA) operator, 2-tuple linguistic prioritized weighted geometric (2TLPWG) operator, 2-tuple linguistic prioritized weighted harmonic average (2TLPWHA) operator
Abstract: To study the problem of multiple attribute decision making in which the decision making information values are triangular fuzzy number, a relative entropy decision making method for software quality evaluation is proposed. Then, according to the concept of the relative entropy, the relative closeness degree is defined to determine the ranking order of all alternatives by calculating the relative entropy to both the fuzzy positive-ideal solution (FPIS) and fuzzy negative-ideal solution (FNIS) simultaneously. At last, a numerical example for software quality evaluation is provided to illustrate the proposed method. The result shows the approach is simple, effective and easy to…calculate.
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