Relationships between entropy and similarity measure of interval-valued intuitionistic fuzzy sets

The concept of entropy of interval‐valued intuitionistic fuzzy set (IvIFS) is first introduced. The close relationships between entropy and the similarity measure of interval‐valued intuitionistic fuzzy sets are discussed in detail. We also obtain some important theorems by which entropy and similar...

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Bibliographic Details
Published inInternational journal of intelligent systems Vol. 25; no. 11; pp. 1121 - 1140
Main Authors Zhang, Qiansheng, Jiang, Shengyi
Format Journal Article
LanguageEnglish
Published Hoboken Wiley Subscription Services, Inc., A Wiley Company 01.11.2010
Subjects
Entropy
Fuzzy
Fuzzy logic
Fuzzy set theory
Mathematical analysis
Similarity
Theorems
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Summary:The concept of entropy of interval‐valued intuitionistic fuzzy set (IvIFS) is first introduced. The close relationships between entropy and the similarity measure of interval‐valued intuitionistic fuzzy sets are discussed in detail. We also obtain some important theorems by which entropy and similarity measure of IvIFSs can be transformed into each other based on their axiomatic definitions. Simultaneously, some formulae to calculate entropy and similarity measure of IvIFSs are put forward. © 2010 Wiley Periodicals, Inc.
Bibliography:istex:53448519B406B11704B6A508D8B9A9B6F2EF0212
ark:/67375/WNG-RDT8XGKP-5
ArticleID:INT20442
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0884-8173
1098-111X
1098-111X
DOI:10.1002/int.20442