Decompositions of Soft \alpha-continuity and Soft A-continuity

Abstract

In this paper, we introduce the concepts of soft \alhaA-set, soft \alphaB-set, soft \alphaC-set and soft \alphaLC-set in soft topological spaces which are defined over an initial universe with a fixed set of parameters and discuss their relationships with each other and other weaker forms of soft open sets with counterexamples. We also investigate soft \alphaA-continuity, soft \alphaB-continuity, soft \alphaC-continuity and soft \alphaLC-continuity. Finally, we obtain two decompositions of soft \alpha-continuity and a decomposition of soft A-continuity.