Result: A game theoretic procedure for ranking efficient points of a fuzzy multiobjective programming problem

Summary: A method has been proposed to obtain a ranking of the efficient points from the efficient frontier of a multiobjective programming problem (MOP). This procedure is based on the game theoretic model whose players and the strategies are considered as the objectives and the generated efficient points respectively. The uniqueness of this model rests on arriving at an efficient solution without considering any preference information from the decision maker. The theory of fuzzy subsets has been used to develop an appropriate pay-off table required for the game theory. The probability of selecting an efficient point gives rise to a ranking of the efficient points with numerical preferential weights. The relevance of an efficient point to the MOP is determined by summing over all its preferential weights respect to all the objectives.