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, will 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.
| Original language | English |
|---|---|
| Pages (from-to) | 1000-1011 |
| Number of pages | 12 |
| Journal | Proceedings of SPIE - The International Society for Optical Engineering |
| Volume | 2491 |
| DOIs | |
| State | Published - 6 Apr 1995 |
| Externally published | Yes |
| Event | Wavelet Applications II 1995 - Orlando, United States Duration: 17 Apr 1995 → 21 Apr 1995 |
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
- Computer Science Applications
- Applied Mathematics
- Electrical and Electronic Engineering