Paper:
Language: English:
New Similarity Measures of Intuitionistic Fuzzy Sets
Hassan Rezaei and Masao Mukaidono
Department of Computer Science, Meiji University, 1-1-1 Higashi-Mita, Tama-Ku, Kawasaki-shi 214-8571, Japan
Received: April 14, 2006
Accepted: October 10, 2006
Keywords: fuzzy set, intuitionistic fuzzy set, dissimilarity measure, similarity measure
Journal ref: Journal of Advanced Computational Intelligence and Intelligent Informatics, Vol.11, No.2 pp. 202-209, 2007
Abstract
In this review of existing similarity measures of intuitionistic fuzzy sets (IFSs), we apply some numerical examples showing that not all existing similarity measures are effective and reasonable in some cases. We propose properties based on intuition and the human thinking process that should be satisfied by all dissimilarity and similarity measures, together with new similarity measures of IFSs that overcome drawbacks of existing measures. In examples, we compare the proposed similarity measures to existing measures and present two propositions on the relationship between similarity and dissimilarity measures of IFSs. We also propose that a suitable combination of similarity measures may be a similarity measure.
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