Approximate Solution of LR Fuzzy Matrix System

Abstract

In this paper we proposed a general model for solving the fuzzy matrix equation AX=B in which A is a crisp matrix and B is an arbitrary LR fuzzy numbers matrix. The original fuzzy equation is converted to a system of linear matrix equations by the embedding approach. The fuzzy solution is derived from solving model and a sufficient condition for the existence of strong LR fuzzy solution is analyzed. Two illustrating examples are given to show the effectiveness of the proposed method.