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Cubic Interval-Valued Intuitionistic Fuzzy Sets and Their Application in BCK/BCI-Algebras

Cubic interval-valued intuitionistic fuzzy sets and their application in BCK/BCI-algebras
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 23 Jan 2018 English Publisher:MDPI AGJournal:Axioms, volume 7, page 7 (eissn: 2075-1680, Copyright policy )
Authors: Young Bae Jun; Seok-Zun Song; Seon Jeong Kim;

doi: 10.3390/axioms7010007

Cubic Interval-Valued Intuitionistic Fuzzy Sets and Their Application in BCK/BCI-Algebras

Abstract

As a new extension of a cubic set, the notion of a cubic interval-valued intuitionistic fuzzy set is introduced, and its application in B C K / B C I -algebra is considered. The notions of α -internal, β -internal, α -external and β -external cubic IVIF set are introduced, and the P-union, P-intersection, R-union and R-intersection of α -internal and α -external cubic IVIF sets are discussed. The concepts of cubic IVIF subalgebra and ideal in B C K / B C I -algebra are introduced, and related properties are investigated. Relations between cubic IVIF subalgebra and cubic IVIF ideal are considered, and characterizations of cubic IVIF subalgebra and cubic IVIF ideal are discussed.

Related Organizations
Keywords

\(\beta\)-internal, <i>β</i>-internal, <i>α</i>-internal, β-internal, α-external, cubic interval-valued intuitionistic fuzzy subalgebra, BCK-algebras, BCI-algebras, <i>α</i>-external, \(\alpha\)-internal, cubic interval-valued intuitionistic fuzzy ideal, QA1-939, β-external cubic interval-valued intuitionistic fuzzy set, \(\beta\)-external cubic interval-valued intuitionistic fuzzy set, \(\alpha\)-external, <i>β</i>-external cubic interval-valued intuitionistic fuzzy set, Theory of fuzzy sets, etc., Mathematics, α-internal

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    popularity
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
26
Top 10%
Top 10%
Top 10%
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