A novel method of the Rough Interval-valued Intuitionistic Fuzzy Sets

In this paper, by combining the rough sets theory and intuitionistic fuzzy special sets theory, the model of the rough interval-valued intuitionistic fuzzy sets is defined, some basic operations of the model are given, and the properties of the model are discussed. The discussion is the emphasis in...

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Bibliographic Details
Published in2009 International Conference on Machine Learning and Cybernetics Vol. 1; pp. 543 - 548
Main Authors Xia Li, Zhan-Ao Xue, Li-Ping Wei, Feng Cen
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.07.2009
Subjects
Cybernetics
Educational institutions
Electronic mail
Fuzzy set theory
Fuzzy sets
Information technology
Interval-valued
Interval-valued Intuitionistic Fuzzy Sets
Machine learning
Rough Interval-valued Intuitionistic Fuzzy Sets
Rough sets
Set theory
Uncertainty
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Summary:In this paper, by combining the rough sets theory and intuitionistic fuzzy special sets theory, the model of the rough interval-valued intuitionistic fuzzy sets is defined, some basic operations of the model are given, and the properties of the model are discussed. The discussion is the emphasis in the properties of complement. By discussing, co-normality, normality, duality are established in rough interval-valued intuitionistic fuzzy sets, multiplication and addition are not.
ISBN:9781424437023
1424437024
ISSN:2160-133X
DOI:10.1109/ICMLC.2009.5212534