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Egoists dilemma with fuzzy data

In this paper, we investigate the problems of consensus–making among individuals or organizations with multiple criteria for evaluating performance when the players are supposed to be egoistic and the score for each criterion for a player is supposed to be fuzzy number. We deal with problems with fuzzy parameters from the viewpoint of experts’ imprecise or fuzzy understanding of the nature of parameters in a problem- formulation process. Egoistic means that each player sticks to his/her superiority regarding the criteria. The concept that is developed in optimization leads the problem to a dilemma called 'egoists dilemma'. We examine this dilemma using cooperative fuzzy game theory and propose a solution. The scheme developed in this paper can also be applied to attaining fair cost allocations as well as benefit-cost distributions for fuzzy data.