Similarity measure on intuitionistic fuzzy sets

Jean-Ho Park , Jai-Hyuk Hwang , Wook-Je Park , He Wei , Sang-Hyuk Lee

Journal of Central South University ›› 2013, Vol. 20 ›› Issue (8) : 2233 -2238.

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Journal of Central South University ›› 2013, Vol. 20 ›› Issue (8) : 2233 -2238. DOI: 10.1007/s11771-013-1729-y
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Similarity measure on intuitionistic fuzzy sets

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Abstract

Study of fuzzy entropy and similarity measure on intuitionistic fuzzy sets (IFSs) was proposed and analyzed. Unlike fuzzy set, IFSs contain uncertainty named hesitance, which is contained in fuzzy membership function itself. Hence, designing fuzzy entropy is not easy because of many entropy definitions. By considering different fuzzy entropy definitions, fuzzy entropy on IFSs is designed and discussed. Similarity measure was also presented and its usefulness was verified to evaluate degree of similarity.

Keywords

similarity measure / multi-dimension / discrete data / relative degree / power interconnected system

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Jean-Ho Park, Jai-Hyuk Hwang, Wook-Je Park, He Wei, Sang-Hyuk Lee. Similarity measure on intuitionistic fuzzy sets. Journal of Central South University, 2013, 20(8): 2233-2238 DOI:10.1007/s11771-013-1729-y

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