Union soft p-ideals and union soft sub-implicative ideals in BCI-algebras

Abstract

The aim of this article 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 union soft p-ideals(sub-implicative ideals) are introduced, and related properties are investigated. Conditions for a union soft ideal to be a union soft p-ideal(sub-implicative ideal) are established. Characterizations of a union soft p-ideal(sub-implicative ideal) are considered, and a new union soft p-ideal(sub-implicative ideal) from an old one is constructed.