Singular fuzzy linear systems

Abstract

The linear system of equations  Ax ̃= ̃b  where A is a n × n singular crisp matrix and the right-hand side is a fuzzy number vector is called a singular fuzzy linear system of equations. Drazin inverse is one of the generalized inverses. In this paper the effect of Drazin inverse in solving such systems using LU factorization is investigated. Here the computing Drazin inverse and solving singular fuzzy linear systems using MATLAB software are illustrated.