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http://dx.doi.org/10.5831/HMJ.2016.38.4.795

GENERAL TYPES OF(∈,∈∨qk)-FUZZY SUBSEMIGROUPS IN SEMIGROUPS  

Kang, Jeong Gi (Department of Mathematics EducationGyeongsang National University)
Publication Information
Honam Mathematical Journal / v.38, no.4, 2016 , pp. 795-807 More about this Journal
Abstract
More general form of an (${\in},{\in}{\vee}q_k$)-fuzzy subsemigroup is considered. The notions of (${\in},q^{\delta}_k$)-fuzzy subsemigroup, ($q^{\delta}_0,{\in}{\vee}q^{\delta}_k$)-fuzzy subsemigroup and (${\in},{\in}{\vee}q^{\delta}_k$)-fuzzy subsemigroup are introduced, and related properties are investigated. Characterizations of an (${\in},{\in}{\vee}q^{\delta}_k$)-fuzzy subsemigroup are considered. Conditions for an (${\in},{\in}{\vee}q^{\delta}_k$)-fuzzy subsemigroup to be a fuzzy subsemigroup are provided. Relations between ($q^{\delta}_0,{\in}{\vee}q^{\delta}_k$)-fuzzy subsemigroup, (${\in},q^{\delta}_k$)-fuzzy subsemigroup and (${\in},{\in}{\vee}q^{\delta}_k$)-fuzzy subsemigroup are discussed.
Keywords
(${\in},q^{\delta}_k$)-fuzzy subsemigroup; ($q^{\delta}_0,{\in}{\vee}q^{\delta}_k$)-fuzzy subsemigroup (${\in},{\in}{\vee}q^{\delta}_k$)-fuzzy subsemigroup; (${\in}{\vee}q^{\delta}_k$)-level subsemigroup;
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