Pairwise Lower Separation Axioms in ̌ech Fuzzy Soft Bi-Closure Spaces

Mohamad Th. Hmood, University of Baghdad, Faculty of Education for Pure Sciences Ibn Al-Haitham, Department of Mathematics, Baghdad, Iraq
R. N. Majeed, University of Baghdad, Faculty of Education for Pure Sciences Ibn Al-Haitham, Department of Mathematics, Baghdad, Iraq

Document Type

Article

Abstract

The idea of ech fuzzy soft bi-closure space ( bicsp) is a new one, and its basic features are defined and studied in [1]. In this paper, separation axioms, namely pairwise, , pairwise semi-(respectively, pairwise pseudo and pairwise Uryshon) - fs bicsp's are introduced and studied in both ech fuzzy soft bi-closure space and their induced fuzzy soft bitopological spaces. It is shown that hereditary property is satisfied for , with respect to ech fuzzy soft bi-closure space but for other mentioned types of separations axioms, hereditary property satisfies for closed subspaces of ech fuzzy soft bi-closure space.

Keywords

Fuzzy soft set, fuzzy soft closure operator, closed fuzzy soft set, fuzzy soft bitopological space, pairwise 〖 T〗_0, pairwise T_1, pairwise〖 T〗_2, pairwise semi〖 T〗_2, pairwise pseudo〖 T〗_2, pairwise Uryshon 〖 T〗_2.

Recommended Citation

Hmood, Mohamad Th. and Majeed, R. N. (2021) "Pairwise Lower Separation Axioms in ̌ech Fuzzy Soft Bi-Closure Spaces," Al-Qadisiyah Journal of Pure Science: Vol. 26 : No. 4 , Article 40.
Available at: https://doi.org/10.29350/qjps.2021.26.4.1414