Highlights • In this work, some properties of Cech fuzzy soft closure spaces are introduced and studied. • Also, several types of lower separation axioms in Cech fuzzy soft closure space are introduced. • In addition, the relationship between these types of separation axioms are discussed. • Moreover, several examples are given to support our study. Article Info Abstract By considering ̌e ch fuzzy soft closure spaces ( , , ), we provide a basic structure of a fuzzy soft topological space ( , ,

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... associated with ̌e ch fuzzy soft closure space ( , , ). Separation axioms, namely, ( = 0,1,2), semi-(respectively, pseudo and Uryshon) 2 are studied in both ̌e ch fuzzy soft closure spaces and its associative fuzzy soft topological spaces. It is shown that hereditary property is satisfied for , = 0,1 with respect to ̌e ch fuzzy soft closure space but for other mentioned types of separations axioms, hereditary property satisfies for closed subspaces of ̌e ch fuzzy soft closure space. Several examples are given to illustrate each type of the separation axioms and to study the relationship between them.