On weakly soft omega open functions and weakly soft omega closed functions in soft topological spaces

Abstract EN

The main purpose from this paper is to introduce a new kind of soft open sets in soft topological spaces called soft omega open sets and we show that the collection of every soft omega open sets in a soft topological space forms a soft topology on X which is soft finer than .

Moreover we use soft omega open sets to define and study new classes of soft functions called weakly soft omega open functions and weakly soft omega closed functions which are weaker than weakly soft open functions and weakly soft closed functions respectively.

We obtain their basic properties, their characterizations, and their relationships with other kinds of soft functions between soft topological spaces.