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International Journal of Machine Learning and Cybernetics
Erschienen in: International Journal of Machine Learning and Cybernetics 2/2016

01.04.2016 | Original Article

Interval valued intuitionistic fuzzy sets in \(\Gamma \)-semihypergroups

verfasst von: Saleem Abdullah, Muhammad Aslam, Kostaq Hila

Erschienen in: International Journal of Machine Learning and Cybernetics | Ausgabe 2/2016

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Abstract

The notion of interval valued intuitionistic fuzzy sets was introduced by Atanassov and Gargov as a generalization of the notion of intuitionistic fuzzy sets and interval valued fuzzy sets. In this paper, we initiate a study on interval valued intuitionistic fuzzy sets in \(\Gamma \)-semihypergroups. We introduce the notions of interval valued intuitionistic fuzzy left (right, two sided) \(\Gamma \)-hyperideal, interval valued intuitionistic fuzzy bi-\(\Gamma \)-hyperideal and interval valued intuitionistic fuzzy (1,2) \(\Gamma \)-hyperideal in a \(\Gamma \)-semihypergroup and some properties of them are obtained. We use the interval valued intuitionistic fuzzy left, right, two-sided and bi-\(\Gamma \)-hyperideals to characterize some classes of \(\Gamma \)-semihypergroups. We also introduce the notion of an interval valued intuitionistic fuzzy \(M\) (resp. \(N\))-hypersystem of a \(\Gamma \)-semihypergroup and some properties of them are investigated.
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Metadaten
Titel
Interval valued intuitionistic fuzzy sets in -semihypergroups
verfasst von
Saleem Abdullah
Muhammad Aslam
Kostaq Hila
Publikationsdatum
01.04.2016
Verlag
Springer Berlin Heidelberg
Erschienen in
International Journal of Machine Learning and Cybernetics / Ausgabe 2/2016
Print ISSN: 1868-8071
Elektronische ISSN: 1868-808X
DOI
https://doi.org/10.1007/s13042-014-0250-4

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