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

Year 2020, Issue: 31, 86 - 94, 30.06.2020

Naime Demirtaş Orhan Dalkılıç

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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