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A fast approach to bimatrix games with intuitionistic fuzzy payoffs
Min Fan1, Ping Zou2, Shao-Rong Li3
1Faculty of Science, Kunming University of Science and Technology, Kunming 650500, China ; Faculty of Management and Economic, Kunming University of Science and Technology, Kunming 650500, China.
Abstract:
The aim of this paper is to develop an effective method for solving bimatrix games with payoffs of intuitionistic fuzzy value. Firstly, bimatrix game model with intuitionistic fuzzy payoffs (IFPBiG) was put forward. Secondly, two kinds of nonlinear programming algorithms were discussed with the Nash equilibrium of IFPBiG. Thirdly, Nash equilibrium of the algorithm was proved by the fixed point theory and the algorithm was simplified by linear programming methods. Finally, an example was solved through Matlab; it showed the validity, applicability, and superiority.
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