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Soft subalgebras and soft ideals of BCK/BCI-algebras related to fuzzy set theory. (English) Zbl 1188.06015

Summary: The notions of \(\in\)-soft set and q-soft set based on a fuzzy set are introduced, and characterizations for \(\in\)-soft sets and q-soft sets to be (idealistic) soft BCK/BCI-algebras are provided. Using the notion of \((\in,\in\vee \text{q})\)-fuzzy BCK/BCI subalgebras/ideals, characterizations for \(\in\)-soft sets and q-soft sets to be (idealistic) soft BCK/BCI-algebras are established.

MSC:

06F35 BCK-algebras, BCI-algebras
03E72 Theory of fuzzy sets, etc.
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