Solving Multi-Objective Matrix Games with Fuzzy Payoffs through the Lower Limit of the Possibility Degree
College of Science, Chongqing University of Post and Telecommunication, Chongqing 400065, China
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Received: 20 June 2017 / Revised: 17 July 2017 / Accepted: 18 July 2017 / Published: 25 July 2017
In this article, we put forward the multi-objective matrix game model based on fuzzy payoffs. In order to solve the game model, we first discuss the relationship of two fuzzy numbers via the lower limit
of the possibility degree. Then, utilizing this relationship, we conclude that the equilibrium solution of this game model and the optimal solution of multicriteria linear optimization problems are of equal value. Finally, to illustrate the effectiveness and correctness of the obtained model, an example is provided.
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MDPI and ACS Style
Qiu, D.; Xing, Y.; Chen, S. Solving Multi-Objective Matrix Games with Fuzzy Payoffs through the Lower Limit of the Possibility Degree. Symmetry 2017, 9, 130.
Qiu D, Xing Y, Chen S. Solving Multi-Objective Matrix Games with Fuzzy Payoffs through the Lower Limit of the Possibility Degree. Symmetry. 2017; 9(8):130.
Qiu, Dong; Xing, Yumei; Chen, Shuqiao. 2017. "Solving Multi-Objective Matrix Games with Fuzzy Payoffs through the Lower Limit of the Possibility Degree." Symmetry 9, no. 8: 130.
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