ABS METHOD FOR SOLVING FUZZY SYLVESTER MATRIX EQUATION

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FARIBORZI ARAGHI M.A.; HOSEIN ZADEH M.

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

Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION Year:2012 | Volume:2 | Issue:3 Page(s): 231-237

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Information Journal Paper

Title

ABS METHOD FOR SOLVING FUZZY SYLVESTER MATRIX EQUATION

Author(s)

FARIBORZI ARAGHI M.A. | HOSEIN ZADEH M. | Issue Writer Certificate

Keywords

FUZZY SYLVESTER MATRIX EQUATION

FUZZY NUMBER

ABS ALGORITHM

HUANG ALGORITHM

Abstract

The main aim of this paper intends to discuss the solution of FUZZY SYLVESTER MATRIX EQUATION AX+XB=C where A= (aij)ÎRn´n, B= (bij) ÎRm´m are crisp M- matrices, C= (cij) ÎRn´m is fuzzy matrix and XÎRn´m is unknown, by applying a special algorithm based on a class of ABS ALGORITHMs called HUANG ALGORITHM. At first, we transform this system to an (mn)´(mn) fuzzy system of linear equations. Then, we convert this system to three (mn)´(mn) crisp linear systems of equations, and we solve them simultaneously by ABS ALGORITHM.

Cites

DIFFERENTIAL TRANSFORMATION METHOD FOR SOLVING FUZZY FRACTIONAL HEAT EQUATIONS

References

Cite

APA: Copy

FARIBORZI ARAGHI, M.A., & HOSEIN ZADEH, M.. (2012). ABS METHOD FOR SOLVING FUZZY SYLVESTER MATRIX EQUATION. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, 2(3), 231-237. SID. https://sid.ir/paper/328271/en

Vancouver: Copy

FARIBORZI ARAGHI M.A., HOSEIN ZADEH M.. ABS METHOD FOR SOLVING FUZZY SYLVESTER MATRIX EQUATION. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION[Internet]. 2012;2(3):231-237. Available from: https://sid.ir/paper/328271/en

IEEE: Copy

M.A. FARIBORZI ARAGHI, and M. HOSEIN ZADEH, “ABS METHOD FOR SOLVING FUZZY SYLVESTER MATRIX EQUATION,” INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, vol. 2, no. 3, pp. 231–237, 2012, [Online]. Available: https://sid.ir/paper/328271/en

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