• FUZZY LINEAR PROGRAMMING PROBLEM WITH FUZZY HOMOGENEOUS CONSTRAINTS

Abstract

This paper proposes an algorithm for solving a fuzzy linear programming problem (FLPP) when some of its constraints are fuzzy homogeneous. Using these fuzzy homogeneous constraints a fuzzy transformation matrix is constructed. The transforms the given problem into another FLPP but with fewer fuzzy constrains. A relationship between these two problems, which ensures that the solution of the original problem can be recovered from the solution of the transformed problem, is explained.  A simple numerical example illustrates the steps of the proposed algorithm.