**Volume 18, Issue 2, pp 175--183**

**Publication Date**: 2018-01-28

**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

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.

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

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