An Approach to Generate New Soft Sets and Spaces in Soft Ditopological Spaces

This paper is about, the detailed analysis of soft ditopological space theory (SDT - space theory) is ameliorated by introducing new soft sets called ˜δ-b-unclosed sets, ˜δ-b-closed sets and ˜δ-b-dense sets, which are needed for the definition of extremally disconnected spaces and submaximal spaces in soft ditopological spaces. Moreover, ˜δ-regular- unclosed, ˜δ-preunclosed, ˜δ-semi unclosed, ˜δ- α-unclosed and ˜δ-β- unclosed sets in SDT-space are determined and studied relations between these sets in detail. A new idea is introduced in order to prove relations, which gives an affirmative answer to understand the structure of SDT-spaces. It is demonstrated that separately these frameworks can in any case be very confounded, a perhaps increasingly tractable errand is to portray their conceivable joint dispersions by using recently characterized ˜δ-sets.