Closed Int Soft BCI -Ideals and Int Soft c- BCI -Ideals

Abstract

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 notions of closed intersectional soft $\mathrm{BCI}$-ideals and intersectional soft commutative $\mathrm{BCI}$-ideals are introduced, and related properties are investigated. Conditions for an intersectional soft $\mathrm{BCI}$-ideal to be closed are provided. Characterizations of an intersectional soft commutative $\mathrm{BCI}$-ideal are established, and a new intersectional soft c-$\mathrm{BCI}$-ideal from an old one is constructed.