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

摘要： 研究矩阵对策是深入研究对策理论的一个基本途径和重要手段。根据直觉模糊多目标决策和模糊对策理论,研究了支付值为直觉模糊值的多目标二人零和矩阵对策。首先介绍了基于直觉模糊集的多目标二人零和矩阵对策模型,接着提出了求解直觉模糊多目标二人零和矩阵对策的线性规划方法。最后以数例说明本文提出的方法。结果表明该方法能方便地得到对策的均衡策略和均衡解。

关键词: 直觉模糊集, 矩阵对策, 多目标对策, 线性规划