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Positive implicative ideals of BCK-algebras based on a soft set theory. (English) Zbl 1217.06008

Summary: D. Molodtsov introduced in 1999 the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. In this paper we apply the notion of soft sets to the theory of BCK-algebras. The notions of positive implicative soft ideals and positive implicative idealistic soft BCK-algebras are introduced, and their basic properties are derived.

MSC:

06F35 BCK-algebras, BCI-algebras
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