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 On $(\alpha, \beta)$-fuzzy subalgebras of $BCK/BCI$-algebras Bull. Korean Math. Soc. 2005 Vol. 42, No. 4, 703-711 Published online December 1, 2005 Young Bae Jun Gyeongsang National University Abstract : Using the \emph{belongs to} relation ($\in$) and \emph{quasi-coincidence with} relation (q) between fuzzy points and fuzzy sets, the concept of $(\alpha, \beta)$-fuzzy subalgebras where $\alpha,$ \, $\beta$ are any two of $\{\in,$ ${\rm q},$ $\in \!\vee \, {\rm q},$ $\in \!\wedge \, {\rm q}\}$ with $\alpha \ne \, \in \!\wedge \, {\rm q}$ is introduced, and related properties are investigated. Keywords : belong to, quasi-coincident with, $(\alpha, \beta)$-fuzzy subalgebra MSC numbers : 03G10, 03B05, 03B52, 06F35 Downloads: Full-text PDF