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Relationships between entropy and similarity measure of interval‐valued intuitionistic fuzzy sets
Author(s) -
Zhang Qiansheng,
Jiang Shengyi
Publication year - 2010
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.20442
Subject(s) - mathematics , axiom , similarity measure , entropy (arrow of time) , fuzzy set , discrete mathematics , measure (data warehouse) , fuzzy logic , data mining , artificial intelligence , computer science , geometry , physics , quantum mechanics
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.