Calculating Fuzzy Inverse Matrix Using Linear Programming Problem: An Improved Approach

Calculating the matrix inverse is a key point in solving linear equation system, which involves complex calculations, particularly  when the matrix elements are  (Left and Right) fuzzy numbers. In this paper, first, the method of Kaur and Kumar for calculating the matrix inverse is reviewed, and its...

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Vydáno v:Pakistan journal of statistics and operation research s. 983 - 996
Hlavní autoři: Babakordi, Fatemeh, Taghi-Nezhad, Nemat Allah
Médium: Journal Article
Jazyk:angličtina
Vydáno: 03.12.2021
ISSN:1816-2711, 2220-5810
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Shrnutí:Calculating the matrix inverse is a key point in solving linear equation system, which involves complex calculations, particularly  when the matrix elements are  (Left and Right) fuzzy numbers. In this paper, first, the method of Kaur and Kumar for calculating the matrix inverse is reviewed, and its disadvantages are discussed. Then, a new method is proposed to determine the inverse of  fuzzy matrix based on linear programming problem. It is demonstrated that the proposed method is capable of overcoming the shortcomings of the previous matrix inverse. Numerical examples are utilized to verify the performance and applicability of the proposed method.
ISSN:1816-2711
2220-5810
DOI:10.18187/pjsor.v17i4.3767