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 aninitial universe with a fixed set of parameters and discuss their relationships witheach other and other weaker forms of soft open sets with counterexamples. Wealso 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.

Keywords

• soft set
• soft topological space
• soft \alphaa-set
• soft \alphab-set
• soft \alphac-set
• soft \alphalc-set
• soft \alphaa-continuous function
• soft \alphab-continuous function
• soft \alphac-continuous function
• soft \alphalc-continuous function