Nonsingleton fuzzy logic systems: theory and application

Author

Mouzouris, George C. ; Mendel, Jerry M.

Author_Institution

Dept. of Electr. Eng. Syst., Univ. of Southern California, Los Angeles, CA, USA

Volume

5

Issue

1

fYear

1997

fDate

2/1/1997 12:00:00 AM

Firstpage

56

Lastpage

71

Abstract

In this paper, we present a formal derivation of general nonsingleton fuzzy logic systems (NSFLSs) and show how they can be efficiently computed. We give examples for special cases of membership functions and inference and we show how an NSFLS can be expressed as a “nonsingleton fuzzy basis function” expansion and present an analytical comparison of the nonsingleton and singleton fuzzy logic systems formulations. We prove that an NSFLS can uniformly approximate any given continuous function on a compact set and show that our NSFLS does a much better job of predicting a noisy chaotic time series than does a singleton fuzzy logic system (FLS)

Keywords

fuzzy logic; inference mechanisms; noise; time series; compact set; continuous function; inference; membership functions; noisy chaotic time series prediction; nonsingleton fuzzy logic systems; singleton fuzzy logic systems; Automatic control; Chaos; Fuzzy control; Fuzzy logic; Fuzzy neural networks; Fuzzy sets; Fuzzy systems; Optimization methods; Training data; Uncertainty;

fLanguage

English

Journal_Title

Fuzzy Systems, IEEE Transactions on

Publisher

ieee

ISSN

1063-6706

Type

jour

DOI

10.1109/91.554447

Filename

554447