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http://dx.doi.org/10.5831/HMJ.2014.36.3.623

CLASSIFICATIONS OF (α, β)-FUZZY SUBALGEBRAS OF BCK/BCI-ALGEBRAS  

Jun, Young Bae (Department of Mathematics Education, Gyeongsang National University)
Ahn, Sun Shin (Department of Mathematics Education, Dongguk University)
Lee, Kyoung Ja (Department of Mathematics Education, Hannam University)
Publication Information
Honam Mathematical Journal / v.36, no.3, 2014 , pp. 623-635 More about this Journal
Abstract
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.
Keywords
(fuzzy) subalgebra; (${\alpha},{\beta}$)-fuzzy subalgebra; $({\alpha},{\beta})^{max}$-fuzzy subalgebra; t-q-set; t-${\in}{\vee}q$-set; $({\in},q)^{max}$-fuzzy subalgebra; $(q,{\in})^{max}$-fuzzy sub-algebra; $(q,{\in}{\vee}q)^{max}$-fuzzy subalgebra;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
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