Application of (α, β)-soft intersectional sets on BCK/BCI-algebras

Abstract

In this paper, the notion of (α, β)-soft intersectional set is introduced and explained with some examples. Then, some properties of (α, β)-soft intersectional BCK/BCI-algebras and (α, β)-soft intersectional BCK/BCI-ideals are investigated. Strong (α, β)-soft intersectional BCI-algebra is defined on the basis of BCI-subalgebras. The concept of an (α, β)-intersectional t-support of a soft set is introduced and proposed a condition for an (α, β)-intersectional t-support to be a soft BCK/BCI-subalgebras and soft ideal of a BCK/BCI-algebras. Also, it is shown that the image and inverse image of a BCK/BCI-algebras are also (α, β)-soft intersectional BCK/BCI-algebras. Again, (α, β)-soft intersectional BCK/BCI-ideal is developed on the basis of a homomorphism of BCK/BCI-algebras.