Fuzzy systems approximation by frames - SISO case

Armin Shmilovici, Oded Z. Maimon

Research output: Contribution to conferencePaperpeer-review

1 Scopus citations

Abstract

In this paper, the approximation problem of SISO fuzzy systems by frames is discussed. Based on the fact that fuzzy systems can be represented by a linear combination of fuzzy basis functions (FBF), we first discuss the mathematical theory of frames in a Hilbert space, and then the conditions under which a FBF is a valid frame. Fuzzy membership functions which constitute a valid frame can universally approximate any continuous function. The triangular membership function is demonstrated as such, and it's approximation properties are discussed.

Original languageEnglish
Pages2057-2062
Number of pages6
StatePublished - 1 Jan 1995
Externally publishedYes
EventProceedings of the 1995 IEEE International Conference on Fuzzy Systems. Part 1 (of 5) - Yokohama, Jpn
Duration: 20 Mar 199524 Mar 1995

Conference

ConferenceProceedings of the 1995 IEEE International Conference on Fuzzy Systems. Part 1 (of 5)
CityYokohama, Jpn
Period20/03/9524/03/95

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