A novel fuzzy system with dynamic rule base

Document Type

Article

Publication Date

10-1-2005

Publication Title

IEEE Transactions on Fuzzy Systems

Volume

13

Issue

5

First Page

569

Keywords

Function approximation, Fuzzy system, Fuzzy theory

Last Page

582

Abstract

A new fuzzy system containing a dynamic rule base is proposed in this paper. The novelty of the proposed system is in the dynamic nature of its rule base which has a fixed number of rules and allows the fuzzy sets to dynamically change or move with the inputs. The number of the rules in the proposed system can be small, and chosen by the designer. The focus of this article is mainly on the approximation capability of this fuzzy system. The proposed system is capable of approximating any continuous function on an arbitrarily large compact domain. Moreover, it can even approximate any uniformly continuous function on infinite domains. This paper addresses existence conditions, and as well provides constructive sufficient conditions so that the new fuzzy system can approximate any continuous function with bounded partial derivatives. Finally, an example is given to show how the proposed fuzzy system can be effectively used for system modeling and control. © 2005 IEEE.

DOI

10.1109/TFUZZ.2005.856566

ISSN

10636706

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