Solving large scale fuzzy singular linear systems

Article type: Research Article

Authors: Zhou, Jieyong^* | Zhang, Zhenyu^b

Affiliations: [a] School of mathematics, Shanghai Key Laboratory of Financial Information Technology, Shanghai University of Finance and Economics, Shanghai, China | [b] School of mathematics, Shanghai University of Finance and Economics, Shanghai, P.R. China

Correspondence: [*] Corresponding author. Jieyong Zhou, School of mathematics, Shanghai Key Laboratory of Financial Information Technology, Shanghai University of Finance and Economics, Shanghai 200433, China. E-mail: jieyongzhou@shufe.edu.cn.

Abstract: Many existing numerical methods of solving fuzzy linear systems are based on solving crisp extended linear systems. This paper is intended to propose a parallel numerical method to solve Drazin inverse solution of large scale fuzzy singular linear systems. Our numerical tests show that the parallel numerical method is useful and superior to the method of computing the extended crisp linear systems.

Keywords: Fuzzy singular linear systems, Krylov subspace, DGMRES, parallel computing, strong fuzzy Drazin solution

DOI: 10.3233/JIFS-15689

Journal: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 1, pp. 601-607, 2018