Perturbation analysis of fuzzy linear systems

Zengfeng Tian, Liangjian Hu, David Greenhalgh

Research output: Contribution to journalArticle

16 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.

LanguageEnglish
Pages4706-4713
Number of pages8
JournalScience in China Series F - Information Sciences
Volume180
Issue number23
DOIs
Publication statusPublished - 1 Dec 2010

Fingerprint

Linear systems

Keywords

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

Cite this

Tian, Zengfeng ; Hu, Liangjian ; Greenhalgh, David. / Perturbation analysis of fuzzy linear systems. In: Science in China Series F - Information Sciences. 2010 ; Vol. 180, No. 23. pp. 4706-4713.
@article{dbe8c541c16e454b960424baad122660,
title = "Perturbation analysis of fuzzy linear systems",
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.",
keywords = "Fuzzy linear systems, Perturbation analysis, Spectral norm, SOLVING SYSTEMS, EQUATIONS, DECOMPOSITION, NUMBERS",
author = "Zengfeng Tian and Liangjian Hu and David Greenhalgh",
year = "2010",
month = "12",
day = "1",
doi = "10.1016/j.ins.2010.07.018",
language = "English",
volume = "180",
pages = "4706--4713",
journal = "Science in China Series F - Information Sciences",
issn = "1009-2757",
number = "23",

}

Perturbation analysis of fuzzy linear systems. / Tian, Zengfeng; Hu, Liangjian; Greenhalgh, David.

In: Science in China Series F - Information Sciences, Vol. 180, No. 23, 01.12.2010, p. 4706-4713.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Perturbation analysis of fuzzy linear systems

AU - Tian, Zengfeng

AU - Hu, Liangjian

AU - Greenhalgh, David

PY - 2010/12/1

Y1 - 2010/12/1

N2 - 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.

AB - 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.

KW - Fuzzy linear systems

KW - Perturbation analysis

KW - Spectral norm

KW - SOLVING SYSTEMS

KW - EQUATIONS

KW - DECOMPOSITION

KW - NUMBERS

UR - http://www.scopus.com/inward/record.url?scp=77956611250&partnerID=8YFLogxK

U2 - 10.1016/j.ins.2010.07.018

DO - 10.1016/j.ins.2010.07.018

M3 - Article

VL - 180

SP - 4706

EP - 4713

JO - Science in China Series F - Information Sciences

T2 - Science in China Series F - Information Sciences

JF - Science in China Series F - Information Sciences

SN - 1009-2757

IS - 23

ER -