Supra Fuzzy Soft Topological Spaces, Supra Fuzzy Soft Proximity and Fuzzy Soft Biproximity Spaces

摘要

In this paper, we introduce the notion of supra fuzzy soft topological space and study some of its properties. Also, the notions of supra fuzzy soft proximity and fuzzy soft biproximity space are presented. Finally, we study fuzzy soft biproximity space by studying the supra fuzzy soft proximity generated by them. Some of the results that we have obtained: every supra fuzzy soft normal T_1 space (X,τ,E) has a supra fuzzy soft proximity δ such that τ_δ = τ . Also, every proximally supra fuzzy soft continuous is supra fuzzy soft continuous. Also, for every fuzzy soft bitopological space (X,τ_1,τ_2,E) which is P* -normal and P*T_1, the associated supra fuzzy soft topological space (X,τ_(12),E) has a supra fuzzy soft proximity δ such that τ_δ = r_(12).