Lower Separation Axioms in C ̌ech Fuzzy Soft Closure Spaces

Year 2019, Volume: 32 Issue: 4, 1254 - 1269, 01.12.2019

Rasha Majeed , Lina Maıbed

https://doi.org/10.35378/gujs.433174

Cited By: 2

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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