NEW DECOMPOSITIONS OF SOFT CONTINUITY IN SOFT TOPOLOGICAL SPACES

Year 2023, Volume: 6 Issue: 1, 89 - 98, 31.01.2023

Zehra Güzel Ergül

https://doi.org/10.33773/jum.1202907

Abstract

The aim of this paper is to produce new decompositions of soft continuity.
For this reason, we first have introduced two new sets concepts named as
soft AC-set with soft BC-set in soft topological spaces. Compairing with
this two soft sets concepts and others soft set kinds, we have obtained two
decompositions of soft open sets, supported by counterexamples. Utilizing
soft AC-set and soft BC-set concepts, we have introduced two functions
concepts named as soft AC-continuous with soft BC-continuous functions and
we have obtained a new decomposition of soft continuity.

Keywords

Soft set, Soft topological space, Soft AC-set, Soft BC-set, Soft AC-continuity, Soft BC-continuity.

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