Hashemi, M., Mirnia, M., Shahmorad, S. (2008). SOLVING FUZZY LINEAR SYSTEMS BY USING THE SCHUR
COMPLEMENT WHEN COEFFICIENT MATRIX IS AN
M-MATRIX. Iranian Journal of Fuzzy Systems, 5(3), 15-29.

M. S. Hashemi; M. K. Mirnia; S. Shahmorad. "SOLVING FUZZY LINEAR SYSTEMS BY USING THE SCHUR
COMPLEMENT WHEN COEFFICIENT MATRIX IS AN
M-MATRIX". Iranian Journal of Fuzzy Systems, 5, 3, 2008, 15-29.

Hashemi, M., Mirnia, M., Shahmorad, S. (2008). 'SOLVING FUZZY LINEAR SYSTEMS BY USING THE SCHUR
COMPLEMENT WHEN COEFFICIENT MATRIX IS AN
M-MATRIX', Iranian Journal of Fuzzy Systems, 5(3), pp. 15-29.

Hashemi, M., Mirnia, M., Shahmorad, S. SOLVING FUZZY LINEAR SYSTEMS BY USING THE SCHUR
COMPLEMENT WHEN COEFFICIENT MATRIX IS AN
M-MATRIX. Iranian Journal of Fuzzy Systems, 2008; 5(3): 15-29.

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

^{}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}.

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