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Classifications of (a, B)-Fuzzy Subalgebras of BCK/BCI-Algebras
( Young Bae Jun ),( Sun Shin Ahn ),( Kyoung Ja Lee ) 호남수학회 2014 호남수학학술지 Vol.36 No.3
Classifications of (\alpha, \beta)-fuzzy subalgebras of BCK/BCI-algebras are discussed. Relations between (∈,∈ Vq)-fuzzy subalgebras and (q,∈ Vq)-fuzzy subalgebras are established. Given special sets, so called t-q-set and t-∈ V q-set, conditions for the t-q-set and t-∈ V q-set to be subalgebras are considered. The no-tions of (∈, q)max-fuzzy subalgebra, (q, ∈)max-fuzzy subalgebra and (q, ∈ V q)max-fuzzy subalgebra are introduced. Conditions for a fuzzy set to be an (∈, q)max-fuzzy subalgebra, a (q, ∈)max-fuzzy subalgebra and a (q, ∈ V q)max-fuzzy subalgebra are considered.
CLASSIFICATIONS OF (α,β)-FUZZY SUBALGEBRAS OF BCK=BCI-ALGEBRAS
전영배,안선신,이경자 호남수학회 2014 호남수학학술지 Vol.36 No.3
Classifications of (α,β)-fuzzy subalgebras of BCK/BCI-algebras are discussed. Relations between (∈,∈ ∨q)-fuzzy subalgebras and (q,∈ ∨q)-fuzzy subalgebras are established. Given special sets, so called t-q-set and t-∈ ∨q-set, conditions for the t-q-set and t-∈ ∨q-set to be subalgebras are considered. The notions of (∈,q)max-fuzzy subalgebra, (q,∈)max-fuzzy subalgebra and (q,∈ ∨q)max-fuzzy subalgebra are introduced. Conditions for a fuzzy set to be an (∈,q)max-fuzzy subalgebra, a (q,∈)max-fuzzy subalgebra and a (q,∈ ∨q)max-fuzzy subalgebra are considered.
CLASSIFICATIONS OF (α, β)-FUZZY SUBALGEBRAS OF BCK/BCI-ALGEBRAS
Jun, Young Bae,Ahn, Sun Shin,Lee, Kyoung Ja The Honam Mathematical Society 2014 호남수학학술지 Vol.36 No.3
Classications of (${\alpha},{\beta}$)-fuzzy subalgebras of BCK/BCI-algebras are discussed. Relations between (${\in},{\in}{\vee}q$)-fuzzy subalgebras and ($q,{\in}{\vee}q$)-fuzzy subalgebras are established. Given special sets, so called t-q-set and t-${\in}{\vee}q$-set, conditions for the t-q-set and t-${\in}{\vee}q$-set to be subalgebras are considered. The notions of $({\in},q)^{max}$-fuzzy subalgebra, $(q,{\in})^{max}$-fuzzy subalgebra and $(q,{\in}{\vee}q)^{max}$-fuzzy subalgebra are introduced. Conditions for a fuzzy set to be an $({\in},q)^{max}$-fuzzy subalgebra, a $(q,{\in})^{max}$-fuzzy subalgebra and a $(q,{\in}{\vee}q)^{max}$-fuzzy subalgebra are considered.