Perturbation analysis of fuzzy linear systems

Zengfeng Tian; Liangjian Hu; David Greenhalgh

doi:10.1016/j.ins.2010.07.018

Perturbation analysis of fuzzy linear systems

Zengfeng Tian, Liangjian Hu, David Greenhalgh

Mathematics And Statistics

Research output: Contribution to journal › Article › peer-review

25 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 language	English
Pages (from-to)	4706-4713
Number of pages	8
Journal	Science in China Series F - Information Sciences
Volume	180
Issue number	23
DOIs	https://doi.org/10.1016/j.ins.2010.07.018
Publication status	Published - 1 Dec 2010

Keywords

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

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10.1016/j.ins.2010.07.018

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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

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DO - 10.1016/j.ins.2010.07.018

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EP - 4713

JO - Science in China Series F - Information Sciences

JF - Science in China Series F - Information Sciences

IS - 23

ER -

Perturbation analysis of fuzzy linear systems

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Keywords

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