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.
| Original language | American English |
|---|---|
| Journal | Intelligent Engineering Systems Through Artificial Neural Networks |
| Volume | 9 |
| State | Published - Nov 1 1999 |
Keywords
- Fuzzy sets
- Inference engines
- Inverted pendulum
- Membership functions
- Neural networks
- Probability
- Spurious signal noise
Disciplines
- Electrical and Computer Engineering
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