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Hashemi, M. S., Mirnia, M. K., Shahmorad, S.. (1387). SOLVING FUZZY LINEAR SYSTEMS BY USING THE SCHUR COMPLEMENT WHEN COEFFICIENT MATRIX IS AN M-MATRIX. نشریه علمی دانشگاه سیستان و بلوچستان, 5(3), 15-29. doi: 10.22111/ijfs.2008.340
M. S. Hashemi; M. K. Mirnia; S. Shahmorad. "SOLVING FUZZY LINEAR SYSTEMS BY USING THE SCHUR COMPLEMENT WHEN COEFFICIENT MATRIX IS AN M-MATRIX". نشریه علمی دانشگاه سیستان و بلوچستان, 5, 3, 1387, 15-29. doi: 10.22111/ijfs.2008.340
Hashemi, M. S., Mirnia, M. K., Shahmorad, S.. (1387). 'SOLVING FUZZY LINEAR SYSTEMS BY USING THE SCHUR COMPLEMENT WHEN COEFFICIENT MATRIX IS AN M-MATRIX', نشریه علمی دانشگاه سیستان و بلوچستان, 5(3), pp. 15-29. doi: 10.22111/ijfs.2008.340
Hashemi, M. S., Mirnia, M. K., Shahmorad, S.. SOLVING FUZZY LINEAR SYSTEMS BY USING THE SCHUR COMPLEMENT WHEN COEFFICIENT MATRIX IS AN M-MATRIX. نشریه علمی دانشگاه سیستان و بلوچستان, 1387; 5(3): 15-29. doi: 10.22111/ijfs.2008.340

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

Iranian Journal of Fuzzy Systems
مقاله 3، دوره 5، شماره 3، دی 2008، صفحه 15-29    اصل مقاله (211.7 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2008.340
نویسندگان
M. S. Hashemi؛ M. K. Mirnia؛ S. Shahmorad*
Department of Applied Mathematics, Faculty of Mathematical Science, University of Tabriz, Tabriz-Iran
چکیده
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}.
کلیدواژه‌ها
Fuzzy linear system؛ Schur complement؛ M-matrix؛ H-matrix
مراجع
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