Type-2 Fuzzy Set Theory and its Application to a Dynamical System with Noise
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.
D. Wang and L. Acar, "Type-2 Fuzzy Set Theory and its Application to a Dynamical System with Noise," Intelligent Engineering Systems Through Artificial Neural Networks, vol. 9, pp. 555-560, American Society of Mechanical Engineers (ASME), Nov 1999.
Artificial Neural Networks in Engineering Conference, ANNIE '99 (1999: Nov. 7-10, St. Louis, MO)
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)
Article - Conference proceedings
© 1999 American Society of Mechanical Engineers (ASME), All rights reserved.