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On Soluble Intuitionistic Fuzzy Group and Its Properties

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dc.contributor.authorEjegwa, Paul Augustine
dc.contributor.authorKausar, Nasreen
dc.contributor.authorSmerat, Aseel
dc.contributor.authorCagin, Tonguc
dc.date.accessioned2026-06-27T15:33:15Z
dc.date.issued2026
dc.description.abstractThis article introduces the concept of soluble (or solvable) intuitionistic fuzzy groups as a novel intuitionistic fuzzy algebraic structure. Certain fundamental results concerning intuitionistic fuzzy normal subgroups and quotient intuitionistic fuzzy groups are established. Furthermore, a solvable series for an intuitionistic fuzzy group is constructed and illustrated through a detailed example. It is demonstrated that the family of intuitionistic fuzzy subgroups of a given intuitionistic fuzzy group shares the same support as the group itself. Finally, a biconditional relationship between a solvable intuitionistic fuzzy group and its support is proved.en
dc.description.urihttps://doi.org/10.29020/nybg.ejpam.v19i1.7164
dc.identifier.doi10.29020/nybg.ejpam.v19i1.7164
dc.identifier.issn1307-5543
dc.identifier.issue1
dc.identifier.urihttps://hdl.handle.net/20.500.14981/71872
dc.identifier.volume19
dc.identifier.wos001697478600015
dc.language.isoeng
dc.publisherNEW YORK BUSINESS GLOBAL LLC
dc.relation.ispartofEUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS
dc.rightsopenAccess
dc.subjectIntuitionistic fuzzy groups
dc.subjectintuitionistic fuzzy subgroups
dc.subjectintuitionistic fuzzy normal subgroups
dc.subjectquotient intuitionistic fuzzy groups
dc.subjectsolvable intuitionistic fuzzy groups
dc.subjectMathematics
dc.titleOn Soluble Intuitionistic Fuzzy Group and Its Properties
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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