Approximate Solution of Complex LR Fuzzy Linear Matrix Equation

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Guo Xiaobin; Fan Xiangyang; Lin Hangru

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Journal Paper

Paper Information

Journal: TRANSACTIONS ON FUZZY SETS AND SYSTEMS Year:2024 | Volume:2 | Issue:3 Page(s): 128-141

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Information Journal Paper

Title

Approximate Solution of Complex LR Fuzzy Linear Matrix Equation

Author(s)

Guo Xiaobin | Fan Xiangyang | Lin Hangru | Issue Writer Certificate

Keywords

Complex fuzzy numbers

Matrix analysis

Fuzzy matrix equations

Approximate solutions.

Abstract

‎This paper aims at solving a class of linear LR complex fuzzy matrix equations $A\widetilde{X}B=\widetilde{C}$ using a matrix approach‎. ‎By using the basic operation of LR fuzzy number matrix‎, ‎the original complex fuzzy matrix equation is transformed into a clear matrix equation group‎. ‎Two new and simplified models for calculating fuzzy solutions are designed in detail‎, ‎and sufficient conditions for strong fuzzy solutions are analyzed‎. ‎Finally‎, ‎two examples are given to illustrate the feasibility and effectiveness of the proposed method‎. ‎Now that the complex fuzzy numbers can describe uncertain factors more vivid and reasonable than the real fuzzy numbers sometimes and the wide application of matrix equations under uncertain conditions‎, ‎our research work enriches the fuzzy linear systems theory‎.

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