DocumentCode
899535
Title
Solving Systems of Linear Fuzzy Equations by Parametric Functions
Author
Vroman, Annelies ; Deschrijver, Glad ; Kerre, Etienne E.
Author_Institution
Ghent Univ., Gent
Volume
15
Issue
3
fYear
2007
fDate
6/1/2007 12:00:00 AM
Firstpage
370
Lastpage
384
Abstract
Buckley and Qu proposed a method to solve systems of linear fuzzy equations. Basically, in their method the solutions of all systems of linear crisp equations formed by the alpha-levels are calculated. We propose in this paper a new method for solving systems of linear fuzzy equations based on a practical algorithm using parametric functions in which the variables are given by the fuzzy coefficients of the system. We show that our algorithm is much more efficient than the method of Buckley and Qu.
Keywords
functional analysis; fuzzy set theory; linear crisp equations; linear fuzzy equations; parametric functions; Arithmetic; Electromagnetic heating; Equations; Finite element methods; Fluid flow; Fuzzy sets; Fuzzy systems; Material properties; Numerical simulation; Vectors; Fuzzy numbers; solving systems of fuzzy linear equations;
fLanguage
English
Journal_Title
Fuzzy Systems, IEEE Transactions on
Publisher
ieee
ISSN
1063-6706
Type
jour
DOI
10.1109/TFUZZ.2006.880009
Filename
4231870
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