# Solving fuzzy matrix games through a ranking value function method

Volume 18, Issue 2, pp 175--183 Publication Date: January 28, 2018       Article History
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### Authors

Dong Qiu - College of Science, Chongqing University of Post and Telecommunication, Chongqing, 400065, P. R. China
Yumei Xing - College of Science, Chongqing University of Post and Telecommunication, Chongqing, 400065, P. R. China
Shuqiao Chen - College of Science, Chongqing University of Post and Telecommunication, Chongqing, 400065, P. R. China

### Abstract

The objective of this paper is to establish the bi-matrix games with crisp payoffs based on ranking value function method. We obtain that the equilibrium solution of the game model can be translated into the optimal solution of the non-linear programming problem. Finally, to illustrate the effectiveness and correctness of the obtained model, an example is provided.

### Keywords

• Fuzzy bi-matrix game
• equilibrium solution
• non-linear programming problem

•  15B15
•  90C70

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