DocumentCode
1366542
Title
Fuzzy piecewise multilinear and piecewise linear systems as universal approximators in Sobolev norms
Author
Rovatti, Riccardo
Author_Institution
Dipartimento di Elettronica, Bologna Univ., Italy
Volume
6
Issue
2
fYear
1998
fDate
5/1/1998 12:00:00 AM
Firstpage
235
Lastpage
249
Abstract
A piecewise multilinear and a piecewise linear model for fuzzy systems are introduced and their approximation capabilities investigated. Classical results on the approximation of regular functions are improved showing that fuzzy systems may keep their semantic structure while approximating to any degree of accuracy not only sufficiently regular functions, but also their derivatives
Keywords
approximation theory; fuzzy systems; interpolation; piecewise polynomial techniques; piecewise-linear techniques; Sobolev norms; fuzzy piecewise linear systems; fuzzy piecewise multilinear systems; regular functions; semantic structure; universal approximators; Fuzzy systems; Inference mechanisms; Joining processes; Mathematical model; Natural languages; Piecewise linear approximation; Piecewise linear techniques; Polynomials; Power system modeling; Shape;
fLanguage
English
Journal_Title
Fuzzy Systems, IEEE Transactions on
Publisher
ieee
ISSN
1063-6706
Type
jour
DOI
10.1109/91.669022
Filename
669022
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