Abstract:
This paper discusses the approximation properties of fuzzy systems generated by the min inference. Firstly, the paper analyzes the properties of fuzzy basis functions (FB...Show MoreMetadata
Abstract:
This paper discusses the approximation properties of fuzzy systems generated by the min inference. Firstly, the paper analyzes the properties of fuzzy basis functions (FBFs); Then based on the properties of FBPs, several basic approximation properties concerning approximation mechanisms, uniform approximation bounds, uniform convergency, and universal approximation are obtained. Further, the similarity and difference between the fuzzy systems generated by the product inference and by the min inference are discussed.
Published in: IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics) ( Volume: 26, Issue: 1, February 1996)
DOI: 10.1109/3477.484453
Keywords assist with retrieval of results and provide a means to discovering other relevant content. Learn more.
- IEEE Keywords
- Index Terms
- Fuzzy System ,
- Approximation Properties ,
- Properties Of Systems ,
- Inference Methods ,
- Lookup Table ,
- Fuzzy Logic ,
- Uniform Approximation ,
- Proof Of The Main Result ,
- Universal Approximation ,
- Rule-based ,
- Value Of System ,
- Membership Function ,
- Fuzzy Set ,
- Input Space ,
- Inference System ,
- Uniform Properties ,
- Approximate Formula ,
- Universal Type
Keywords assist with retrieval of results and provide a means to discovering other relevant content. Learn more.
- IEEE Keywords
- Index Terms
- Fuzzy System ,
- Approximation Properties ,
- Properties Of Systems ,
- Inference Methods ,
- Lookup Table ,
- Fuzzy Logic ,
- Uniform Approximation ,
- Proof Of The Main Result ,
- Universal Approximation ,
- Rule-based ,
- Value Of System ,
- Membership Function ,
- Fuzzy Set ,
- Input Space ,
- Inference System ,
- Uniform Properties ,
- Approximate Formula ,
- Universal Type
