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Roh, Eun Hwan; Jun, Young Bae

Positive implicative ideals of BCK-algebras based on intersectional soft sets. (English) Zbl 1266.06028

J. Appl. Math. 2013, Article ID 853907, 9 p. (2013).
Summary: The aim of this paper is to lay a foundation for providing a soft algebraic tool in considering many problems that contain uncertainties. In order to provide these soft algebraic structures, the notion of int-soft positive implicative ideals is introduced, and related properties are investigated. Relations between an int-soft ideal and an int-soft positive implicative ideal are established. Characterizations of an int-soft positive implicative ideal are obtained. An extension property for an int-soft positive implicative ideal is constructed. The \(\wedge\)-product and \(\vee\)-product of int-soft positive implicative ideals are considered, and the soft intersection (resp., union) of int-soft positive implicative ideals is discussed.

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MSC:

06F35 BCK-algebras, BCI-algebras
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References:

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