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Karpatsʹkì Matematičnì Publìkacìï
Article . 2022 . Peer-reviewed
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Article . 2022
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zbMATH Open
Article . 2022
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Linear Diophantine fuzzy subsets of polygroups

descriptionPublicationkeyboard_double_arrow_right Article 30 Dec 2022Publisher:Vasyl Stefanyk Precarpathian National UniversityJournal:Carpathian Mathematical Publications, volume 14, pages 564-581 (issn: 2075-9827, eissn: 2313-0210, Copyright policy )
Authors: M. Al Tahan; B. Davvaz; M. Parimala; S. Al-Kaseasbeh;

doi: 10.15330/cmp.14.2.564-581

Linear Diophantine fuzzy subsets of polygroups

Abstract

Linear Diophantine fuzzy sets were recently introduced as a generalized form of fuzzy sets. The aim of this paper is to shed the light on the relationship between algebraic hyperstructures and linear Diophantine fuzzy sets through polygroups. More precisely, we introduce the concepts of linear Diophantine fuzzy subpolygroups of a polygroup, linear Diophantine fuzzy normal subpolygroups of a polygroup, and linear Diophantine anti-fuzzy subpolygroups of a polygroup. Furthermore, we study some of their properties and characterize them in relation to level and ceiling sets.

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Keywords

linear Diophantine fuzzy normal subpolygroup, linear Diophantine anti-fuzzy subpolygroup, linear diophantine fuzzy subpolygroup, linear diophantine fuzzy normal subpolygroup, ceiling set, Fuzzy groups, polygroup, linear diophantine anti-fuzzy subpolygroup, linear diophantine fuzzy set, linear Diophantine fuzzy subpolygroup, linear Diophantine fuzzy set, QA1-939, Hypergroups, Mathematics, level set

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    popularity
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    influence
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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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!
7
Top 10%
Top 10%
Top 10%
gold