Linear Diophantine fuzzy subsets of polygroups

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 Dioph...

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Bibliographic Details
Published inKarpats'kì matematinì publìkacìï Vol. 14; no. 2; pp. 564 - 581
Main Authors Al Tahan, M., Davvaz, B., Parimala, M., Al-Kaseasbeh, S.
Format Journal Article
LanguageEnglish
Published Vasyl Stefanyk Precarpathian National University 30.12.2022
Subjects
ceiling set
level set
linear diophantine anti-fuzzy subpolygroup
linear diophantine fuzzy normal subpolygroup
linear diophantine fuzzy set
linear diophantine fuzzy subpolygroup
polygroup
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Summary: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.
ISSN:2075-9827
2313-0210
DOI:10.15330/cmp.14.2.564-581