We first argue that the extension principle is too computationally involved to be an efficient way for a computer to evaluate fuzzy functions. We then suggest using c~-cuts and interval arithmetic to compute the values of fuzzy functions. Using this method of computing fuzzy functions, we then show
Universal approximators for fuzzy functions
โ Scribed by James J. Buckley; Thomas Feuring
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 461 KB
- Volume
- 113
- Category
- Article
- ISSN
- 0165-0114
No coin nor oath required. For personal study only.
โฆ Synopsis
We show how to construct a large class of universal approximators for fuzzy functions (which continuously map fuzzy numbers into fuzzy numbers and are the extension principle extensions of continuous real-valued functions). One important application is that layered, feedforward, neural nets, with real weights and bias terms and fuzzy signals, whose output is computed using the extension principle, are universal approximators for these functions.
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