Intuitionistic fuzzy sets

A definition of the concept ‘intuitionistic fuzzy set’ (IFS) is given, the latter being a generalization of the concept ‘fuzzy set’ and an example is described. Various properties are proved, which are connected to the operations and relations over sets, and with modal and topological operators, def...

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Bibliographic Details
Published in:Fuzzy sets and systems 1986, Vol.20 (1), p.87-96
Main Author: Atanassov, Krassimir T.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fuzzy Set
Intuitionistic fuzzy set
Mathematical logic, foundations, set theory
Mathematics
Modal operator (necessity, possibility)
Sciences and techniques of general use
Set theory
Topological operator (interior, closure)
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Description
Summary:A definition of the concept ‘intuitionistic fuzzy set’ (IFS) is given, the latter being a generalization of the concept ‘fuzzy set’ and an example is described. Various properties are proved, which are connected to the operations and relations over sets, and with modal and topological operators, defined over the set of IFS's.
ISSN:0165-0114
1872-6801
DOI:10.1016/S0165-0114(86)80034-3