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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| Published in | Pattern analysis and applications : PAA Vol. 23; no. 3; pp. 1203 - 1213 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
London
Springer London
01.08.2020
Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1433-7541 1433-755X |
| DOI | 10.1007/s10044-019-00861-9 |
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| Abstract | 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. |
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| AbstractList | 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. 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. |
| Author | Thao, Nguyen Xuan |
| Author_xml | – sequence: 1 givenname: Nguyen Xuan surname: Thao fullname: Thao, Nguyen Xuan email: nxthao@vnua.edu.vn, nxthao2000@gmail.com organization: Faculty of Information Technology, Vietnam National University of Agriculture, Department of Industrial Management, National Taiwan University of Science and Technology |
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Comput Sci Commun Eng – volume: 35 start-page: 1959 issue: 2 year: 2018 ident: 861_CR18 publication-title: J Intell Fuzzy Syst doi: 10.3233/JIFS-171589 – volume: 228 start-page: 139 issue: 1 year: 2009 ident: 861_CR14 publication-title: J Comput Appl Math doi: 10.1016/j.cam.2008.09.010 – volume: 10 start-page: 615 issue: 4S year: 2018 ident: 861_CR23 publication-title: J Fundam Appl Sci – volume: 42 start-page: 5275 issue: 12 year: 2017 ident: 861_CR5 publication-title: Arab J Sci Eng doi: 10.1007/s13369-017-2625-9 – volume: 6 start-page: 987 issue: 5 year: 2013 ident: 861_CR10 publication-title: Int J Comput Intell Syst doi: 10.1080/18756891.2013.809939 – volume: 28 start-page: 547 issue: 3 year: 2017 ident: 861_CR31 publication-title: Informatica doi: 10.15388/Informatica.2017.144 |
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| Snippet | 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... 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... |
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| SubjectTerms | Computer Science Decision making Entropy Entropy (Information theory) Fuzzy sets Information theory Multiple criterion Pattern Recognition Similarity Similarity measures Theoretical Advances |
| Title | Similarity measures of picture fuzzy sets based on entropy and their application in MCDM |
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