Solution of a fuzzy system of linear equation

In this paper, we study the general m x n fuzzy linear system using a numerical method. The weak fuzzy solutions to the fuzzy system are expressed by using the generalized inverses of the coefficient matrix. Conditions for the existence of a fuzzy solution are derived and a numerical procedure for calculating the solution is designed. A numerical method for finding the least-squares solution of an overdetermined fuzzy system of linear equation by applying an orthogonal matrix to coefficients matrix that needs simple calculations is given. (c) 2005 Elsevier Inc. All rights reserved.