NEW DECOMPOSITIONS OF SOFT CONTINUITY IN SOFT TOPOLOGICAL SPACES

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.