Fuzzy systems approximation by fuzzy spline wavelets

Oded Z. Maimon; Armin Shmilovici

doi:10.1117/12.205459

6 April 1995 Fuzzy systems approximation by fuzzy spline wavelets

Oded Z. Maimon, Armin Shmilovici

Proceedings Volume 2491, Wavelet Applications II; (1995) https://doi.org/10.1117/12.205459
Event: SPIE's 1995 Symposium on OE/Aerospace Sensing and Dual Use Photonics, 1995, Orlando, FL, United States

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.

Citation Download Citation

Oded Z. Maimon and Armin Shmilovici "Fuzzy systems approximation by fuzzy spline wavelets", Proc. SPIE 2491, Wavelet Applications II, (6 April 1995); https://doi.org/10.1117/12.205459

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