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Symmetry 2017, 9(8), 130; doi:10.3390/sym9080130

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
(This article belongs to the Special Issue Fuzzy Sets Theory and Its Applications)
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Abstract

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 - 1 2 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. View Full-Text
Keywords: multi-objective game; possibility degree; equilibrium solution; multicriteria linear optimization multi-objective game; possibility degree; equilibrium solution; multicriteria linear optimization
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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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.

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