Solving fuzzy matrix equation of the form X˜A=B˜

Article type: Research Article

Authors: Guo, Xiaobin^* | Zhang, Ke

Affiliations: College of Mathematics and Statistics, Northwest Normal University, Lanzhou, China

Correspondence: [*] Corresponding author. Xiaobin Guo, College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China. Tel.: +86 13919030082; E-mail: guoxb@nwnu.edu.cn.

Abstract: In paper a general fuzzy matrix equation X˜A=B˜ is investigated by using the embedding approach. A numerical procedure for calculating the solution is designed and a sufficient condition for the existence of fuzzy solution is derived. Two examples are given to illustrate the proposed method.

Keywords: Fuzzy numbers, matrix analysis, fuzzy matrix systems, fuzzy approximate solutions

DOI: 10.3233/JIFS-16895

Journal: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 3, pp. 2771-2778, 2017