关键词: 直觉模糊集, 矩阵对策, 多目标对策, 线性规划

Abstract: The research of matrix game is a basic approach and important means for the research of game theory. The multi-objective two-person zero-sum matrix game, whose payoff values are intuitionistic fuzzy numbers, is proposed based on the theories of intuitionistic fuzzy multi-objective decision making and fuzzy game. The model of multi-objective two-person zero-sum matrix game based on intuitionistic set is introduced at first. Then the linear program method of intuitionistic multi-objective two-person zero-sum matrix game is presented. Finally, an example is given to illustrate the proposed method. The results show that the equilibrium strategy and equilibrium solution of the game can be easily acquired by the proposed method.

Key words: intuitionistic set, multi-objective game, matrix game, linear programming