Inconsistent fuzzy matrix equations and its fuzzy least squares solutions

Abstract

In this paper the m × n inconsistent fuzzy matrix equation $A\tilde{x}=\stackrel{\sim }{B}$ is investigated. The fuzzy least squares solution and the weak fuzzy least squares solution to the fuzzy matrix equation are expressed by using generalized inverses of the matrix S. The existence condition of strong fuzzy least squares solutions to the fuzzy system is also discussed. Some examples are presented to illustrate the proposed method.