A new method for solving fully fuzzy linear fractional programming with a triangular fuzzy numbers

Abstract

In this paper, we propose a method of solving the fully fuzzy linear fractional programming (FFLFP) problems, where all the parameters and variables are triangular fuzzy numbers. In the proposed method, the given FFLFP problem is decomposed into three crisp linear fractional programming (CLFP) problems with bounded variables constraints, three CLFP problems are solved separately and by using its optimal solutions, the fuzzy optimal solution to the given FFLFP problem is obtained. Fuzzy ranking functions and addition of nonnegative variables were not used and there is no restriction on the elements of coefficient matrix in the proposed method. Finally, numerical example are used in order to show the efficiency and superiority of the proposed method.