Perturbation analysis of fuzzy linear systems

Zengfeng Tian, Liangjian Hu, David Greenhalgh

Research output: Contribution to journalArticle

18 Citations (Scopus)

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. (C) 2010 Elsevier Inc. All rights reserved.

Original languageEnglish
Pages (from-to)4706-4713
Number of pages8
JournalScience in China Series F - Information Sciences
Volume180
Issue number23
DOIs
Publication statusPublished - 1 Dec 2010

Keywords

  • Fuzzy linear systems
  • Perturbation analysis
  • Spectral norm
  • SOLVING SYSTEMS
  • EQUATIONS
  • DECOMPOSITION
  • NUMBERS

Fingerprint Dive into the research topics of 'Perturbation analysis of fuzzy linear systems'. Together they form a unique fingerprint.

  • Cite this