Value-based-matrix-pattern (VBMP) algorithm for fuzzy relation equations with linear objective

Abstract

In this paper a new algorithm is proposed to solve the optimization problem of fuzzy relation equations with linear objective function. Fuzzy relation equation is composed of max-min or max-product composition operator. This algorithm operates systematically on the matrix-pattern to get the solution(s). It is found easier to work with this algorithm. Two examples are given to illustrate the effectiveness of this algorithm.