Separation axioms in soft fuzzy topological structures

Abstract

In this paper, a new form of separation axioms called r-fuzzy soft T_{i}; (i = 0, 1, 2, 3, 4 ), r-fuzzy soft regular and r-fuzzy soft normal axioms are introduced in a fuzzy soft topological space based on the sense of Aygunovglu et al. (2014). Also, the relations of these axioms with each other are investigated with the help of examples. Furthermore, some fuzzy soft invariance properties namely fuzzy soft topological property and hereditary property are specified.