Izvorni znanstveni članak
Soft subalgebras and soft ideals of BCK/BCI-algebras related to fuzzy set theory
Young Bae Jun
; Department of Mathematics Education and the RINS, Gyeongsang National University, Chinju 660-701, Korea
Seok Zun Song
; epartment of Mathematics, Cheju National University, Cheju 690-756, Korea
Sažetak
The notion of $\in$-soft set and {\rm q}-soft set based on a fuzzy set is introduced, and characterizations for an $\in$-soft set and a {\rm q}-soft set to be (idealistic) soft BCK/BCI-algebras are provided. Using the notion of $(\in,\in\! \vee \, {\rm q})$-fuzzy BCK/BCI subalgebras/ideals, characterizations for an $\in$-soft set and a {\rm q}-soft set to be (idealistic) soft BCK/BCI-algebras are established.
Ključne riječi
BCK/BCI-subalgebra; BCK/BCI-ideal; soft set; $\in$-soft set; ${\rm q}$-soft set; (idealistic) soft BCK/BCI-algebra; $(\in; \in\! \vee \; {\rm q})$-fuzzy BCK/BCI subalgebra/ideal
Hrčak ID:
44007
URI
Datum izdavanja:
9.12.2009.
Posjeta: 2.251 *