FINDING FUZZY INVERSE MATRIX USING WU’ S METHOD

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FARAHANI H.; EBADI M.J.

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Journal Paper

Paper Information

Journal: Journal of Mahani Mathematical Research Year:2021 | Volume:10 | Issue:1 Page(s): 37-52

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Title

FINDING FUZZY INVERSE MATRIX USING WU’ S METHOD

Author(s)

FARAHANI H. | EBADI M.J. | Issue Writer Certificate

Keywords

Wu’s algorithm

Fuzzy number

Fuzzy matrix

Fuzzy identity matrix

Fuzzy linear equation system (FLES)

Abstract

In this study, the concept of an inverse matrix including Fuzzy number elements is extended. Such a concept may be performed in the modeling of uncertain and imprecise real-world problems. The problem of finding a fuzzy inverse matrix is converted to a problem to solve a system of fuzzy polynomial equations. Here, a fuzzy system is transformed to an equivalent system of crisp polynomial equations. The solution of the system of crisp polynomial equations is calculated using Wu’ s method and is introduced a criterion for invertibility of a Fuzzy matrix (FM). In addition, an algorithm is proposed to calculate the fuzzy inverse matrix. The most important advantage of the presented method is that it achieves whole inverse entries of an FM, simultaneously. In the end, we give some illustrative examples to show the efficiency and proficiency of our proposed algorithm.

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APA: Copy

FARAHANI, H., & EBADI, M.J.. (2021). FINDING FUZZY INVERSE MATRIX USING WU’ S METHOD. JOURNAL OF MAHANI MATHEMATICAL RESEARCH, 10(1), 37-52. SID. https://sid.ir/paper/974948/en

Vancouver: Copy

FARAHANI H., EBADI M.J.. FINDING FUZZY INVERSE MATRIX USING WU’ S METHOD. JOURNAL OF MAHANI MATHEMATICAL RESEARCH[Internet]. 2021;10(1):37-52. Available from: https://sid.ir/paper/974948/en

IEEE: Copy

H. FARAHANI, and M.J. EBADI, “FINDING FUZZY INVERSE MATRIX USING WU’ S METHOD,” JOURNAL OF MAHANI MATHEMATICAL RESEARCH, vol. 10, no. 1, pp. 37–52, 2021, [Online]. Available: https://sid.ir/paper/974948/en

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