On solving fuzzy mathematical programming problems

In the literature of fuzzy mathematical programming there are two interesting methods for solving fuzzy linear programming problems in which some of the elements of coefficient are represented by real numbers and some other are represented by fuzzy numbers. The first method, named as fuzzy primal simplex method, assumes an initial primal basic feasible solution is at hand. The second method, named as fuzzy dual simplex method, assumes an initial dual basic feasible solution is at hand. In this paper, we investigate some shortcomings of these methods are pointed out and to overcome these shortcomings, a new method is proposed to determine the fuzzy optimal solution of such fuzzy problems. The mentioned approach will be applied for a fuzzy mathematical model which is concern to a real problem

Keywords:

Fuzzy mathematical programming , fuzzy numbers , fuzzy primal and dual simplex methods , fuzzy ordering