Nash equilibrium strategy for two-person zero-sum matrix games on credibility space

Document Type : Original Article


Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.


In this paper, firstly, we obtain the credibility measure of fuzzy trapezoidal variables. Also, we attain the
expected value of fuzzy trapezoidal variables. Then, based on these theorems, we present the expected
value Nash equilibrium strategy of the fuzzy games. In other words, we extend the expected model to fuzzy
trapezoidal variables and improve the previous researches in this area. However, in some cases, the game
doesn't have the Nash equilibrium strategy. Therefore, we investigate the existence of Pareto Nash equilibrium
and weak Pareto Nash equilibrium strategies in these cases.


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