Perturbation analysis of fuzzy linear systems

Authors:
Zengfeng Tian;Liangjian Hu;David Greenhalgh
Affiliations:
Composite Section, Junior College, Zhejiang Wanli University, Ningbo 315101, Zhejiang, PR China;Department of Applied Mathematics, College of Science, Donghua University, Shanghai 201620, PR China;Department of Mathematics and Statistics, University of Strathclyde, Glasgow G1 1XT, Scotland, UK
Venue:
Information Sciences: an International Journal
Year:
2010

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Abstract

This paper deals with the perturbation analysis of fuzzy linear systems. Three cases of perturbation are considered: (a) the right hand side is perturbed while the coefficient matrix remains unchanged; (b) the coefficient matrix is perturbed while the right hand side remains unchanged, and (c) both the coefficient matrix and the right hand side are perturbed. For all of the three cases, the respective relative error bounds for solutions of fuzzy linear system are derived. The results are illustrated by numerical examples.