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http://dx.doi.org/10.5391/JKIIS.2009.19.5.603

Similarity Measure Between Interval-valued Vague Sets  

Cho, Sang-Yeop (청운대학교 인터넷학과)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.19, no.5, 2009 , pp. 603-608 More about this Journal
Abstract
In this paper, a similarity measure between interval-valued vague sets is proposed. In the interval-valued vague sets representation, the upper bound and the lower bound of a vague set are represented as intervals of interval-valued fuzzy set respectively. Proposed method combines the concept of geometric distance and the center-of-gravity point of interval-valued vague set to evaluate the degree of similarity between interval-valued vague sets. We also prove three properties of the proposed similarity measure. It provides a useful way to measure the degree of similarity between interval-valued vague sets.
Keywords
similarity measures; geometric distance; center-of-gravity point; interval-valued trapezoidal vague sets;
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