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AIMS Mathematics
Article . 2021 . Peer-reviewed
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AIMS Mathematics
Article
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AIMS Mathematics
Article . 2021
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https://dx.doi.org/10.3934/mat...
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Implicative ideals of BCK-algebras based on MBJ-neutrosophic sets

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2021Publisher:American Institute of Mathematical Sciences (AIMS)Journal:AIMS Mathematics, volume 6, pages 11,029-11,045 (issn: 2473-6988, Copyright policy )
Authors: M. Mohseni Takallo; Rajab Ali Borzooei; Seok-Zun Song; Young Bae Jun;

doi: 10.3934/math.2021640

Implicative ideals of BCK-algebras based on MBJ-neutrosophic sets

Abstract

<abstract><p>The MBJ-neutrosophic set is applied to the implicative ideal of BCK-algebra to introduce the concept of implicative MBJ-neutrosophic ideal. Several properties are investigated. The relationship between implicative MBJ-neutrosophic ideal and each MBJ-neutrosophic subalgebra, (positive implicative, commutative) MBJ-neutrosophic ideal is established. Conditions for MBJ-neutrosophic subalgebra (resp., MBJ-neutrosophic ideal, positive implicative MBJ-neutrosophic ideal and commutative MBJ-neutrosophic ideal) to be implicative MBJ-neutrosophic ideal are provided. Characterizations of implicative MBJ-neutrosophic ideal are discussed.</p></abstract>

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Keywords

mbj-neutrosophic set, mbj-neutrosophic subalgebra, mbj-neutrosophic ideal, QA1-939, positive implicative mbj-neutrosophic ideal, Mathematics, commutative mbj-neutrosophic ideal, implicative mbj-neutrosophic ideal

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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!
3
Top 10%
Average
Average
gold