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Adaptation of SVD Based Fuzzy Reduction via Minimal Expansion

TitleAdaptation of SVD Based Fuzzy Reduction via Minimal Expansion
Publication TypeJournal Article
Year of Publication2002
AuthorsBaranyi, P., and A. Várkonyi-Kóczy
JournalIEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT
Volume51
Issue2
Pagination222 - 226
Date Published2002
Publication Languageeng
Abstract

Most adopted fuzzy inference techniques do not hold the universal approximation property if the numbers of antecedent sets are limited. This fact and the exponential complexity problem of widely adopted fuzzy logic techniques show the contradictory features of fuzzy rule bases in pursuit of good approximation. As a result, complexity reduction emerged in fuzzy theory. The natural disadvantage of using complexity reduction is that the adaptivity property of the reduced approximation becomes highly restricted. This paper proposes a technique for singular value decomposition (SVD) based reduction developed in [1], which may alleviate the adaptivity restriction.
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