Approximate Solution of Complex LR Fuzzy Linear Matrix Equation

‎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...

Full description

Saved in:

Bibliographic Details
Published in:	Transactions on fuzzy sets and systems Vol. 3; no. 2; pp. 128 - 141
Main Authors:	Xiaobin Guo, Xiangyang Fan, Hangru Lin
Format:	Journal Article
Language:	English
Published:	Islamic Azad University, Bandar Abbas Branch 01-11-2024
Subjects:	approximate solutions complex fuzzy numbers fuzzy matrix equations matrix analysis
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	‎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.
ISSN:	2821-0131