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Article
Type-2 Fuzzy Set Theory and its Application to a Dynamical System with Noise
Intelligent Engineering Systems Through Artificial Neural Networks
  • Dongming Wang
  • Levent Acar, Missouri University of Science and Technology
Abstract

In this article, type-2 fuzzy sets, as extensions of the ordinary or type 1 fuzzy sets, are considered. Originally, type-2 fuzzy sets were utilized to represent the uncertainties about the membership function grades themselves. After summarizing some preliminary type-2 fuzzy set concepts, a possible extension of the type-1 fuzzy inference engine is presented. Utilizing this extension, the identification of a dynamical system, specifically the inverted pendulum on a cart, under noisy conditions is considered. The applicability of type-2 fuzzy sets on the identification of dynamical systems is demonstrated. The cases when effects of the noise are poorly handled by the type-1 fuzzy sets were shown to be well handled by type-2 fuzzy sets.

Meeting Name
Artificial Neural Networks in Engineering Conference, ANNIE '99 (1999: Nov. 7-10, St. Louis, MO)
Department(s)
Electrical and Computer Engineering
Keywords and Phrases
  • Fuzzy sets,
  • Inference engines,
  • Membership functions,
  • Probability,
  • Spurious signal noise,
  • Inverted pendulum,
  • Neural networks
International Standard Book Number (ISBN)
978-0791800980
Document Type
Article - Conference proceedings
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 1999 American Society of Mechanical Engineers (ASME), All rights reserved.
Publication Date
11-1-1999
Publication Date
01 Nov 1999
Citation Information
Dongming Wang and Levent Acar. "Type-2 Fuzzy Set Theory and its Application to a Dynamical System with Noise" Intelligent Engineering Systems Through Artificial Neural Networks Vol. 9 (1999) p. 555 - 560
Available at: http://works.bepress.com/levent-acar/24/