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(α,γ)-anti-multi-fuzzy Subgroups and Some of Its Properties

Computers, Materials & Continua 2023年第2期74卷 3221-3229页

作者： Memet Sahin Vakkas Uluçay S.A.Edalatpanah Fayza Abdel Aziz Elsebaee Hamiden Abd El-Wahed Khalifa Department of Mathematics Gaziantep UniversityGaziantepTurkey Department of Mathematics Kilis 7 Aralık UniversityKilisTurkey Department of Applied Mathematics Ayandegan Institute of Higher EducationTonekabonIran Department of Mathematics Helwan UniversityCairoEgypt Department of Mathematics Qassim UniversityAlasyahSaudi Arabia

Recently,fuzzy multi-sets have come to the forefront of scientists’interest and have been used in algebraic structures such asmulti-groups,multirings,anti-fuzzy multigroup and(α,γ)-anti-fuzzy *** this paper,we first summarize the knowledge about the algebraic structure of fuzzy multi-sets such as(α,γ)-anti-multi-fuzzy *** a way,the notion of anti-fuzzy multigroup is an application of anti-fuzzy multi sets to the theory of *** concept of anti-fuzzy multigroup is a complement of an algebraic structure of a fuzzy multi set that generalizes both the theories of classical group and fuzzy *** aim of this paper is to highlight the connection between fuzzy multi-sets and algebraic structures from an anti-fuzzification point of ***,in this paper,we define(α,γ)-antimulti-fuzzy subgroups,(α,γ)-anti-multi-fuzzy normal subgroups,(α,γ)-antimulti-fuzzy homomorphism on(α,γ)-anti-multi-fuzzy subgroups and these been explicated some algebraic ***,we introduce the concept(α,γ)-anti-multi-fuzzy subgroups and(α,γ)-anti-multi-fuzzy normal subgroups and of their *** new concept of homomorphism as a bridge among set theory,fuzzy set theory,anti-fuzzy multi sets theory and group theory and also shows the effect of anti-fuzzy multi sets on a group *** results that discuss the(α,γ)cuts of anti-fuzzy multigroup are explored.

关键词： fuzzy set anti-fuzzy multi set anti-fuzzy multi subgroup anti-fuzzy multi normal subgroup

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