A fuzzy linear fractional programming problem with fuzzy homogeneous constraints in trapezoidal fuzzy numbers

In this paper, we propose a new method for solving a Fuzzy Linear Fractional Programming Problem (FLFPP) when some of its constraints are fuzzy homogeneous in trapezoidal fuzzy numbers. Using these fuzzy homogeneous constraints a fuzzy transformation matrix T ̃ is constructed. This T ̃ transforms the given problem in to another FLFPP with fewer fuzzy constraints. A relationship between these two problems, which ensure that the solution of the original problem can be recovered from the solution of the transformed problem. A simple numerical example explains the procedure of the proposed method.