Similarity measures of picture fuzzy sets based on entropy and their application in MCDM

An extension of fuzzy sets (Zadeh in Inf Control 8:338–353, 1965 ) and intuitionistic fuzzy sets (Atanassov in Fuzzy Sets Syst 20(1):87–96, 1986 ) is called picture fuzzy set (PFS). It is a useful tool to deal with uncertain and inconsistent information. The distance, entropy and similarity measures...

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Bibliographic Details
Published inPattern analysis and applications : PAA Vol. 23; no. 3; pp. 1203 - 1213
Main Author Thao, Nguyen Xuan
Format Journal Article
LanguageEnglish
Published London Springer London 01.08.2020
Springer Nature B.V
Subjects
Computer Science
Decision making
Entropy
Entropy (Information theory)
Fuzzy sets
Information theory
Multiple criterion
Pattern Recognition
Similarity
Similarity measures
Theoretical Advances
Entropy of PFS
Similarity measure of PFS
MCDM
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Summary:An extension of fuzzy sets (Zadeh in Inf Control 8:338–353, 1965 ) and intuitionistic fuzzy sets (Atanassov in Fuzzy Sets Syst 20(1):87–96, 1986 ) is called picture fuzzy set (PFS). It is a useful tool to deal with uncertain and inconsistent information. The distance, entropy and similarity measures play a critical role in information theory. The similarity measures of picture fuzzy sets caused by entropy have been studied and given interesting results. In this paper, we first introduced the concept of entropy measure of PFS. At the same time, we also investigated some similarity measures induced by entropy measures and applied to propose the multi-criteria decision-making problem for selecting suppliers.
Bibliography:ObjectType-Article-1
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ISSN:1433-7541
1433-755X
DOI:10.1007/s10044-019-00861-9