Positive Implicative Ideals of BCK-Algebras Based on Intersectional Soft Sets

Abstract EN

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.

Extension property for an int-soft positive implicative ideal is constructed.

The ∧-product and ∨-product of int-soft positive implicative ideals are considered, and the soft intersection (resp., union) of int-soft positive implicative ideals is discussed.