Perturbation analysis for a class of fuzzy linear systems

Authors:
Ke Wang;Guoliang Chen;Yimin Wei
Affiliations:
Department of Mathematics, East China Normal University, Shanghai 200062, PR China;Department of Mathematics, East China Normal University, Shanghai 200062, PR China;School of Mathematical Sciences, Fudan University, Shanghai 200433, PR China and Key Laboratory of Mathematics for Nonlinear Sciences (Fudan University) Ministry of Education, Shanghai 200433, PR ...
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

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Abstract

In this paper, the perturbation analysis is presented for a class of fuzzy linear systems which can be solved by an embedding method. We deduce the nonlinear upper perturbation bounds for the solutions, and discuss the normwise, mixed and componentwise condition numbers. The results show how the perturbations of the coefficient matrix and the right-hand vector impact the solutions to fuzzy linear systems.