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Proceedings Paper

Fuzzy systems approximation by fuzzy spline wavelets
Author(s): Oded Z. Maimon; Armin Shmilovici
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Paper Abstract

Based on the fact that fuzzy systems can be represented as a linear combination of fuzzy basis functions (FBF), it is proposed that spline wavelets scaling functions be used as FBF. A fuzzy system built from dilations and translations of a wavelet scaling function can universally approximate any function in a Hilbert space. Such fuzzy systems would also enjoy the excellent numerical and computational characteristics of the fast wavelet transform, while retaining the approximation properties of spline functions.

Paper Details

Date Published: 6 April 1995
PDF: 12 pages
Proc. SPIE 2491, Wavelet Applications II, (6 April 1995); doi: 10.1117/12.205459
Show Author Affiliations
Oded Z. Maimon, Boston Univ. (United States)
Armin Shmilovici, Tel Aviv Univ. (Israel)

Published in SPIE Proceedings Vol. 2491:
Wavelet Applications II
Harold H. Szu, Editor(s)

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