Similarity measure on intuitionistic fuzzy sets

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

doi:10.1007/s11771-013-1729-y

Similarity measure on intuitionistic fuzzy sets

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

^*Corresponding author for this work

Department of Mechatronics and Robotics

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

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.

Original language	English
Pages (from-to)	2233-2238
Number of pages	6
Journal	Journal of Central South University
Volume	20
Issue number	8
DOIs	https://doi.org/10.1007/s11771-013-1729-y
Publication status	Published - Aug 2013

Keywords

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

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title = "Similarity measure on intuitionistic fuzzy sets",

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.",

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author = "Park, {Jean Ho} and Hwang, {Jai Hyuk} and Park, {Wook Je} and He Wei and Lee, {Sang Hyuk}",

note = "Funding Information: Foundation item: Project(ER120001) supported by Development of Application Technology BioNano Super Composites, Korea Received date: 2013−01−15; Accepted date: 2013−05−20 Corresponding author: LEE Sang-Hyuk, PhD; Tel: +82−32−860−8829; E-mail: Sanghyuk.Lee@xjtlu.edu.cn",

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doi = "10.1007/s11771-013-1729-y",

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N1 - Funding Information: Foundation item: Project(ER120001) supported by Development of Application Technology BioNano Super Composites, Korea Received date: 2013−01−15; Accepted date: 2013−05−20 Corresponding author: LEE Sang-Hyuk, PhD; Tel: +82−32−860−8829; E-mail: Sanghyuk.Lee@xjtlu.edu.cn

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AB - 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.

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KW - similarity measure

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Similarity measure on intuitionistic fuzzy sets

Abstract

Keywords

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