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http://dx.doi.org/10.5391/JKIIS.2002.12.4.341

A Ranking Method for Type-2 Fuzzy Values  

Lee, Seung-Soo (한국과학기술원 전자전산학과)
Lee, Kwang-H. (한국과학기술원 전자전산학과)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.12, no.4, 2002 , pp. 341-346 More about this Journal
Abstract
Type-1 fuzzy set is used to show the uncertainty in a given value. But there are many situations where it needs to be extended to type-2 fuzzy set because it can be also difficult to determine the crisp membership function itself. Type-2 fuzzy systems have the advantage that they are more expressive and powerful than type-1 fuzzy systems, but they require many operations defined for type-1 fuzzy sets need to be extended in the domain of type-2 fuzzy sets. In this paper, comparison and ranking methods for type-2 fuzzy sets are proposed. It is based on the satisfaction function that produces the comparison results considering the actual values of the given type-2 fuzzy sets with their possibilities. Some properties of the proposed method are also analyzed.
Keywords
Type-2 fuzzy set; Fuzzy comparison; Fuzzy ranking;
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