Ranking Function Methods For Solving Fuzzy Linear Programming Problems

Abstract

In this paper, we concentrate on linear programming problems in which the coefficients of objective function are fuzzy numbers, the right-hand side are fuzzy numbers too, and both the coefficients of objective function as well as right-hand side are fuzzy numbers. Then solving these fuzzy linear programming problems by using many linear ranking functions. After that develop six numerical examples to illustrates the steps of solutions for all these type of linear programming problems which studying in this paper.

Keywords: Fuzzy set theory, fuzzy linear programming, linear ranking function, trapezoidal membership.