The aim of this paper is to develop an effective method for solving bimatrix games with payoffs of intuitionistic fuzzy value. Firstly,\nbimatrix game model with intuitionistic fuzzy payoffs (IFPBiG) was put forward. Secondly, two kinds of nonlinear programming\nalgorithms were discussed with theNash equilibrium of IFPBiG. Thirdly,Nash equilibrium of the algorithm was proved by the fixed\npoint theory and the algorithm was simplified by linear programming methods. Finally, an example was solved through Matlab; it\nshowed the validity, applicability, and superiority
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