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

Abstract

This paper is about, the detailed analysis of soft ditopological space theory (SDT - space theory) is ameliorated by introducing new soft sets called 6-b-unclosed sets, 6-b-closed sets and 6-b-dense sets, which are needed for the definition of extremally disconnected spaces and submaximal spaces in soft ditopological spaces. Moreover, 6-regular- unclosed, 6-preunclosed, 6-semi unclosed, (5- cr-unclosed and 5-fl- 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 5 -sets.