Original scientific paper

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

Abstract

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 $(\in ,\in \vee \mathrm{q})$-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.

Keywords

BCK/BCI-subalgebra; BCK/BCI-ideal; soft set; $\in$-soft set; $\mathrm{q}$-soft set; (idealistic) soft BCK/BCI-algebra; $(\in; \in\! \vee \; {\rm q})$-fuzzy BCK/BCI subalgebra/ideal

Hrčak ID:

44007

URI

https://hrcak.srce.hr/44007

Publication date:

9.12.2009.

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