Lower Separation Axioms in Cech Fuzzy Soft Closure Spaces

By considering Cech fuzzy soft closure spaces (X, theta, K), we provide a basic structure of a fuzzy soft topological space (X, tau(theta), K) associated with Cech fuzzy soft closure space (X, theta, K). Separation axioms, namely, T-i (i = 0,1,2), semi- (respectively, pseudo and Uryshon) T-2 are studied in both Cech fuzzy soft closure spaces and its associative fuzzy soft topological spaces. It is shown that hereditary property is satisfied for T-i, i = 0,1 with respect to Cech fuzzy soft closure space but for other mentioned types of separations axioms, hereditary property satisfies for closed subspaces of Cech fuzzy soft closure space. Several examples are given to illustrate each type of the separation axioms and to study the relationship between them.