دوگانگی در برنامه ریزی خطی با پارامترهای فازی و بازی های ماتریس با فازی پرداخت آف

A dual for linear programming problems with fuzzy parameters is introduced and it is shown that a two person zero sum matrix game with fuzzy pay-offs is equivalent to a primal–dual pair of such fuzzy linear programming problems. Further certain difficulties with similar studies reported in the literature are discussed.