Lower Separation Axioms in C ̌ech Fuzzy Soft Closure Spaces

Abstract

By considering ech fuzzy soft closure spaces , we provide a basic structure of a fuzzy soft topological space  associated with ech fuzzy soft closure space  . Separation axioms, namely,T_İ ( i = 1,2,3 ), semi- (respectively, pseudo and Uryshon) T2  are studied in both ech fuzzy soft closure spaces and its associative fuzzy soft topological spaces. It is shown that hereditary property is satisfied for T_İ  i = 0,1  ,  with respect to ech fuzzy soft closure space but for other mentioned types of separations axioms, hereditary property satisfies for closed subspaces of ech fuzzy soft closure space. Several examples are given to illustrate each type of the separation axioms and to study the relationship between them.

Keywords

• Fuzzy soft set,Fuzzy soft point,C ̌ech fuzzy soft closure operator,Distinct fuzzy soft points,T_i-C ̆ech closure spaces

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