(α,γ)-Anti-Multi-Fuzzy Subgroups and Some of Its Properties

作     者：Memet Sahin Vakkas Uluçay S.A.Edalatpanah Fayza Abdel Aziz Elsebaee Hamiden Abd El-Wahed Khalifa 

作者机构：Department of MathematicsGaziantep UniversityGaziantepTurkey Department of MathematicsKilis 7 Aralık UniversityKilisTurkey Department of Applied MathematicsAyandegan Institute of Higher EducationTonekabonIran Department of MathematicsHelwan UniversityCairoEgypt Department of MathematicsQassim UniversityAlasyahSaudi Arabia 

出 版 物：《Computers, Materials & Continua》 (计算机、材料和连续体（英文）)

年 卷 期：2023年第74卷第2期

页      面：3221-3229页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Yibin University Pre-research Project,Research on the coupling and coordinated development ofmanufacturing and logistics industry under the background of intelligentmanufacturing,(2022YY001) Sichuan ProvincialDepartment of EducationWater Transport EconomicResearch Center,Research on the Development Path and Countermeasures of the Advanced Manufacturing Industry in the Sanjiang New District of Yibin under a“dual circulation”development pattern(SYJJ2020A06) 

主　　题：Fuzzy set anti-fuzzy multi set anti-fuzzy multi subgroup anti-fuzzy multi normal subgroup 

摘      要：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.