Solving LR fuzzy linear matrix equation†

Document Type: Research Paper

Authors

1 College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China

2 Public Health College, Gansu University of Traditional Chinese Medicine, Lanzhou 730000, China

Abstract

In this paper, the fuzzy matrix equation $A\widetilde{X}B=\widetilde{C}$ in which $A,B$ are $n \times n$
crisp matrices respectively and $\widetilde{C}$ is an $n \times n$ arbitrary LR fuzzy numbers matrix, is investigated. A new numerical procedure for calculating the fuzzy solution is designed and a sufficient condition for the existence of strong fuzzy solution is derived. Some examples are given to illustrate the proposed method.

Keywords


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