On Soft Separation Axioms in Fuzzifying Soft Topological Spaces

Abstract

By applying a new approach to concepts of both soft belonging which is called soft element and two distinct soft elements, we success to introduce and study the concepts of ${T_0}\left( {X,\tilde \tau ,A} \right)$, ${T_1}\left( {X,\tilde \tau ,A} \right)$, ${T_2}\left( {X,\tilde \tau ,A} \right)$ (soft hausdorff), ${T_3}\left( {X,\tilde \tau ,A} \right)$, (soft regularity), ${T_4}\left( {X,\tilde \tau ,A} \right)$ (soft normality) soft separation axioms in fuzzifying soft topology, and give some of their equivalents as well as the relation with each other of the five axioms.