GENERAL TYPES OF (∈; ∈_qk)-FUZZY SUBSEMIGROUPS IN SEMIGROUPS

• Published in: Honam mathematical journal Vol. 38; no. 4; pp. 795 - 807
• Main Author: Kang, Jeong Gi
• Format: Journal Article
• Language: Korean
• Published: 호남수학회 31.12.2016
• Subjects: ( $q^{\delta}_0,{\in}{\vee}q^{\delta}_k$)-fuzzy subsemigroup ( ${\in},{\in}{\vee}q^{\delta}_k$)-fuzzy subsemigroup; ( ${\in}{\vee}q^{\delta}_k$)-level subsemigroup; ( ${\in},q^{\delta}_k$)-fuzzy subsemigroup
• ISSN: 1225-293X

More general form of an (∈; ∈_ qk)-fuzzy subsemigroup is considered. The notions of (∈; q _{k} ^{delta } k)-fuzzy subsemigroup, (q _{o} ^{delta } ,` IN vq _{k} ^{delta })-fuzzy subsemigroup and (∈; ∈ V (∈; q _{k} ^{delta } )-fuzzy subsemigroup are introduced, and related properties are investigated. Charac- terizations of an (∈; q _{k} ^{delta } )-fuzzy subsemigroup are considered. Conditions for an (2; 2 _ q± k )-fuzzy subsemigroup to be a fuzzy subsemigroup are provided. Relations between -fuzzy subsemigroup, -fuzzy subsemigroup and -fuzzy subsemigroup are discussed.