A note on similarity measures between vague sets and between elements

Authors:
Dug Hun Hong;Chul Kim
Affiliations:
School of Mechanical and Automotive Engineering, Catholic University of Taegu-Hyosung, Hayang-up, Kyongsan, 330 Kumrak 1-ri, Kyungbuk 712-702, South Korea;Department of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, NC 27695, USA
Venue:
Information Sciences: an International Journal
Year:
1999

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Abstract

Recently, Chen (Fuzzy Sets and Systems 74 (2) (1995) 217-223; IEEE Trans. Syst. Man and Cybern., 27 (1) (1997) 153-158) proposed a set of methods for measuring the degree of similarity between vague sets and between elements, and presented some examples to illustrate the application of the said measures in handling behavior analysis problems. In this paper, we showed by examples that the similarity measures proposed by Chen do not fit well in some cases, and proposed a set of modified measures. Comparing the similarity degree of each measure, the modified similarity measures turned out to be more reasonable in more general cases than the previous one.