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Functional analysis and T-S fuzzy system design

Research Output: Chapter in Book/Report/Conference proceeding Conference contribution Peer-review

Abstract

This paper introduces the idea of viewing fuzzy modelling and fuzzy system design from a functional analysis perspective. Fuzzy transforms, which are based on the generalised Fourier transform in functional analysis, are proposed. It is demonstrated that, mathematically, a T-S fuzzy model is equivalent to a fuzzy transform. Hence the parameters of a T-S fuzzy system can be identified by solving equations constructed using the inner product between membership functions and a given target function. The functional point of view leads to an insight into the behaviour of a fuzzy system. It provides a theoretical basis for exploring improvements to the efficiency of T-S fuzzy modelling.

Publication Information

Output type

Research Output: Chapter in Book/Report/Conference proceeding Conference contribution Peer-review

Original language

English

Pages from-to (Number of pages)

Pages 307-312

Publication milestones

  • Published - 01/08/2005

Publication status

Published - 01/08/2005

Volume

38

Publisher

Elsevier B.V., India, Australia, Germany, United States, China, Spain, Ireland, United Kingdom, Netherlands, Taiwan, Province of China, Brazil, France, Singapore

External Publication IDs

  • handle.net: 10547/625702
  • Scopus: 79960729726

Host publication title

nan

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