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Some Fuzzy Soft Topological Properties Based on Fuzzy B-Open Soft Sets


Affiliations
1 Department of Mathematics, Ain Shams University, Roxy, 11341, Cairo, Egypt
     

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Soft set is a completely generic mathematical tool for modeling uncertainties. Topology is a branch of mathematics, whose concepts exist not only in almost all branches of mathematics, but also in many real life applications. In this paper, we investigate more properties of fuzzy b-open (closed) soft sets and fuzzy b-soft interior (closure). Also, we introduce the notions of fuzzy b-continuous (open) soft functions and fuzzy soft b-separation axioms, which are basic for further research on fuzzy soft topology and will fortify the footing of the theory of fuzzy soft topological space.

Keywords

Fuzzy Soft Topological Space, Fuzzy B-Continuous Soft Functions, Fuzzy Soft b-Ti-spaces (i = 1; 2; 3; 4), Fuzzy Soft B-Regular, Fuzzy Soft B-normal.
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  • Some Fuzzy Soft Topological Properties Based on Fuzzy B-Open Soft Sets

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Authors

A. M. Abd El-Latif
Department of Mathematics, Ain Shams University, Roxy, 11341, Cairo, Egypt

Abstract


Soft set is a completely generic mathematical tool for modeling uncertainties. Topology is a branch of mathematics, whose concepts exist not only in almost all branches of mathematics, but also in many real life applications. In this paper, we investigate more properties of fuzzy b-open (closed) soft sets and fuzzy b-soft interior (closure). Also, we introduce the notions of fuzzy b-continuous (open) soft functions and fuzzy soft b-separation axioms, which are basic for further research on fuzzy soft topology and will fortify the footing of the theory of fuzzy soft topological space.

Keywords


Fuzzy Soft Topological Space, Fuzzy B-Continuous Soft Functions, Fuzzy Soft b-Ti-spaces (i = 1; 2; 3; 4), Fuzzy Soft B-Regular, Fuzzy Soft B-normal.

References