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," ANNIE 1999, American Society of Mechanical Engineers (ASME), Jan 1999.
Electrical and Computer Engineering
Keywords and Phrases
Dynamical System; Fuzzy sets
Article - Conference proceedings
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