A New approach for solving the noncooperative fuzzy game

Systems that involve more than one decision maker are often optimized by using the game theory. In the traditional game theory, it is assumed that each player has a well-defined result of each strategy (payoff) and quantitative utility function over a set of the player decision space. Each player attempts to maximize his/her own expected utility. At present, it cannot be claimed that the first assumption which has been shown to be correct in a wide variety of situations involving complex problems in economics, engineering, social and political sciences. This could be due to the difficulty inherent in defining a crisp payoff in these types of problems. In this paper, fuzzy numbers have been utilized, in order to incorporate the result of strategies, and then credibility measure has been used for these payoffs.