Solving complex LR fuzzy matrix equation Z˜C=W˜¹

Article type: Research Article

Authors: Guo, Xiaobin^{; *} | Li, Zhouzhou | Yan, Rongfang

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. E-mail [email protected].

Note: [1 ] The work is supported by the Natural Scientific Funds of PR China (no.  71471148).

Abstract: In paper a general complex fuzzy matrix equation Z˜C=W˜ in which C is a n × p complex matrix and W˜ is a m × p complex LR fuzzy numbers one, is investigated. A numerical procedure for calculating the solution is designed in detail and a sufficient condition for the existence of strong complex LR fuzzy solution is derived. Some examples are given to illustrate the proposed method.

Keywords: Complex fuzzy numbers, matrix analysis, complex fuzzy matrix systems, fuzzy approximate solutions

DOI: 10.3233/JIFS-17963

Journal: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 6, pp. 4367-4375, 2018