SOLVING FUZZY LINEAR SYSTEMS BY USING THE SCHUR COMPLEMENT WHEN COEFFICIENT MATRIX IS AN M-MATRIX

Abstract

This paper analyzes a linear system of equations when the righthand<br />side is a fuzzy vector and the coefficient matrix is a crisp M-matrix. The<br />fuzzy linear system (FLS) is converted to the equivalent crisp system with<br />coefficient matrix of dimension 2n × 2n. However, solving this crisp system is<br />difficult for large n because of dimensionality problems . It is shown that this<br />difficulty may be avoided by computing the inverse of an n×n matrix instead<br />of Z^{−1}.