Title of article
Approximate Solution of Complex LR Fuzzy Linear Matrix Equation
Author/Authors
Guo ، Xiaobin Department of Mathematics and Statistics - Northwest Normal University , Fan ، Xiangyang Department of Mathematics and Statistics - Northwest Normal University , Lin ، Hangru Department of Mathematics and Statistics - Northwest Normal University
From page
128
To page
141
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.
Keywords
Complex fuzzy numbers , Matrix analysis , Fuzzy matrix equations , Approximate solutions.
Journal title
Transactions on Fuzzy Sets and Systems
Journal title
Transactions on Fuzzy Sets and Systems
Record number
2781377
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