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 defined 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.

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

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