Open AccessCalculating Fuzzy Inverse Matrix Using Linear Programming Problem: An Improved Approach
Author(s) -
F. Babakordi,
Nemat Allah Taghi-Nezhad
Publication year - 2021
Publication title -
pakistan journal of statistics and operation research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.354
H-Index - 15
eISSN - 2220-5810
pISSN - 1816-2711
DOI - 10.18187/pjsor.v17i4.3767
Subject(s) - mathematics , inverse , matrix (chemical analysis) , mathematical optimization , fuzzy logic , state transition matrix , algorithm , computer science , symmetric matrix , artificial intelligence , eigenvalues and eigenvectors , geometry , materials science , physics , quantum mechanics , composite material
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.