Further investigation to approximate fuzzy inverse¹

Article type: Research Article

Authors: Guo, Xiaobin^{; *} | Wei, Yuan | Li, Zhouzhou

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. 11761062) and the Scientific Research Innovation Team Project of Northwest Normal University (no. NWNU-LKQN-17-5).

Abstract: A numerical procedure for calculating the inverse of LR fuzzy numbers matrix is designed and a sufficient condition for the existence of fuzzy inverse is derived. As a application, the paper considers the solution of fully fuzzy linear systems by the approximate fuzzy inverse. Some examples are given to illustrate the proposed method.

Keywords: LR fuzzy numbers, matrix analysis, fuzzy inverse matrix, fully fuzzy linear systems

DOI: 10.3233/JIFS-18027

Journal: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 1, pp. 1161-1168, 2018