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http://dx.doi.org/10.5391/JKIIS.2004.14.2.125

Comparison of Interval-valued fuzzy sets, Intuitionistic fuzzy sets, and bipolar-valued fuzzy sets  

Lee, Keon-Myung (충북대학교 전기전자컴퓨터공학부, 컴퓨터정보통신연구소, 첨단정보기술연구센터)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.14, no.2, 2004 , pp. 125-129 More about this Journal
Abstract
There are several kinds of fuzzy set extensions in the fuzzy set theory. Among them, this paper is concerned with interval-valued fuzzy sets, intuitionistic fuzzy sets, and bipolar-valued fuzzy sets. In interval-valued fuzzy sets, membership degrees are represented by an interval value that reflects the uncertainty in assigning membership degrees. In intuitionistic fuzzy sets, membership degrees are described with a pair of a membership degree and a nonmembership degree. In bipolar-valued fuzzy sets, membership degrees are specified by the satisfaction degrees to a constraint and its counter-constraint. This paper investigates the similarities and differences among these fuzzy set representations.
Keywords
interval-valued fuzzy sets; intuitionistic fuzzy sets; bipolar-valued fuzzy sets;
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