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

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HASHEMI M.S.; MIRNIA M.K.; SHAHMORAD S.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

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Paper Information

Journal: Iranian Journal of Fuzzy Systems Year:2008 | Volume:5 | Issue:3 Page(s): 15-29

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Information Journal Paper

Title

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

Author(s)

HASHEMI M.S. | MIRNIA M.K. | SHAHMORAD S. | Issue Writer Certificate

Keywords

FUZZY LINEAR SYSTEMQ2

SCHUR COMPLEMENTQ2

M-MATRIXQ2

H-MATRIXQ2

Abstract

This paper analyzes a linear system of equations when the right and 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 x 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 x n matrix instead of Z-1.

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APA: Copy

HASHEMI, M.S., MIRNIA, M.K., & 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. SID. https://sid.ir/paper/113267/en

Vancouver: Copy

HASHEMI M.S., MIRNIA M.K., SHAHMORAD S.. SOLVING FUZZY LINEAR SYSTEMS BY USING THE SCHUR COMPLEMENT WHEN COEFFICIENT MATRIX IS AN M-MATRIX. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2008;5(3):15-29. Available from: https://sid.ir/paper/113267/en

IEEE: Copy

M.S. HASHEMI, M.K. MIRNIA, and S. SHAHMORAD, “SOLVING FUZZY LINEAR SYSTEMS BY USING THE SCHUR COMPLEMENT WHEN COEFFICIENT MATRIX IS AN M-MATRIX,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 5, no. 3, pp. 15–29, 2008, [Online]. Available: https://sid.ir/paper/113267/en

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