دوگانگی در برنامه ریزی خطی سطحی چندمعیاره فازی و محدودیت چندگانه: روش پارامتریک

This paper presents a parametric approach for duality in fuzzy multi-criteria and multi-constraint level linear programming LP) which extends fuzzy linear programming approaches. First, the -simplex method is used to solve the crisp prima–dual pair and then, through these crisp formulations, separate membership functions are constructed for fuzzy primal and dual program by considering the corresponding primal and dual decisions. For each program, a set of fuzzy potential solutions is determined in terms of the membership function and the related optimal solution with a certain range of decision parameters. Finally, using the primal and dual membership functions, a fuzzy weak duality function is obtained for any pair of primal and dual fuzzy potential solutions.