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

Document Type : Research Paper

Authors

Department of Applied Mathematics, Faculty of Mathematical Science, University of Tabriz, Tabriz-Iran

Abstract

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

Keywords

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in press.
Iranian Journal of Fuzzy Systems
Volume 5, Issue 3 - Serial Number 3
September and October 2008
Pages 15-29

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