Shahab HassaniNasab - Associate Professor, Road and Transportation, Department of Civil Engineering, Razi University, Kermanshah, Iran
Baqer k. Ahmed - Associate Professor, Road and Transportation, Department of Civil Engineering, Razi University, Kermanshah, Iran

There are two interesting methods, in the literature, for solving fuzzy linear programming problems in which the elements of coefficient matrix of the constraints are represented by real numbers and rest of the parameters are represented by symmetric trapezoidal 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, the 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

Linear programming, symmetric trapezoidal fuzzy numbers, fuzzy simplex methods