Two-person zero-sum matrix game based on intuitionistic fuzzy set

In this paper the two-person zero-sum matrix game, whose payoffs value are an intuitionistic fuzzy values is studied. A concept of possibility measure for intuitionistic fuzzy sets is introduced, and define the credibility measure for intuitionistic fuzzy sets. Based on the credibility measure of intuitionistic fuzzy sets, a type of concept of minimax equilibrium strategiess σ-credible minmax equilibrium strategy is defined. An iterative algorithm based on intuitionistic fuzzy simulation that improved on the fuzzy simulation is designed to find the equilibrium strategies. Finally an example is provided to illustrate the effectiveness of the algorithm.