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finding fuzzy inverse matrix using wu’s method
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نویسنده
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farahani hamed ,ebadi mohammad javad
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منبع
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journal of mahani mathematical research - 2021 - دوره : 10 - شماره : 1 - صفحه:37 -52
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چکیده
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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 uncertainand 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 to the system of crisp polynomial equations is calculated using wus method and a criterion is introduced for invertibility of a fuzzy matrix (fm). inaddition, 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 provide some illustrative examples to show the efficiency and proficiency of our proposed algorithm.
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کلیدواژه
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wu’s algorithm ,fuzzy number ,fuzzy matrix ,fuzzy identity matrix ,fuzzy linear equation system (fles)
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آدرس
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chabahar maritime university, department of mathematics, iran, chabahar maritime university, department of mathematics, iran
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پست الکترونیکی
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ebadi@cmu.ac.ir
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Authors
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