Bipolar capacities multi-attribute decision making VIKOR method with interaction attributes

LIN Pingping, LI Dengfeng, JIANG Binqian, YU Gaofeng, WEI Anpeng

Systems Engineering - Theory & Practice ›› 2021, Vol. 41 ›› Issue (8) : 2147-2156.

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Systems Engineering - Theory & Practice ›› 2021, Vol. 41 ›› Issue (8) : 2147-2156. DOI: 10.12011/SETP2019-2120

Bipolar capacities multi-attribute decision making VIKOR method with interaction attributes

  • LIN Pingping1, LI Dengfeng2, JIANG Binqian1, YU Gaofeng1, WEI Anpeng1
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Abstract

A bipolar capacities multi-attribute decision making VIKOR method is proposed to solve the problem of multiple attribute decision making with interaction attributes. Firstly, the relative distance difference matrix and prospect decision matrix of alternatives relative to positive and negative ideal solution are constructed according to prospect theory. Secondly, based on bipolar capacities Choquet operator, the comprehensive evaluation value of alternatives can be calculated, and the ranking results of alternatives can also be obtained according to the original VIKOR judgment rules. Finally, the feasibility and validity of the proposed method are verified by a case study. The results show that the proposed method can not only effectively distinguish the differences among different alternatives considering the decision maker's psychology, but also can describe more attribute interaction scenarios. Therefore, the proposed method can provide a new approach for decision-making problems with interaction attributes.

Key words

VIKOR / bipolar capacities / interaction attribute / prospect theory / Marichal entropy of bi-capacities

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LIN Pingping , LI Dengfeng , JIANG Binqian , YU Gaofeng , WEI Anpeng. Bipolar capacities multi-attribute decision making VIKOR method with interaction attributes. Systems Engineering - Theory & Practice, 2021, 41(8): 2147-2156 https://doi.org/10.12011/SETP2019-2120

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Funding

National Natural Science Foundation of China (71231003)
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