Neutrosophic Binary Separation Axioms associated Neutrosophic Binary Kernel Set

Amer Khrija Abed^1*, Sarab Kazim Hassan², Qays Hatem Imran³, Ali H. M. Al-Obaidi⁴, Said Broumi⁵

^1,2,3Department of Mathematics, College of Education for Pure Science, Al-Muthanna University, Samawah, Iraq.

⁴Department of Mathematics, College of Education for Pure Science, University of Babylon, Hillah, Iraq.

⁵Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, B.P 7955,

Morocco.

Emails: amer.khrija@mu.edu.iq; sarab.kadhim@mu.edu.iq; qays.imran@mu.edu.iq; aalobaidi@uobabylon.edu.iq; broumisaid78@gmail.com

*Correspondence: amer.khrija@mu.edu.iq

Abstract

The primary purpose of this report is to present an idea that is considered one of the main ideas in neutrosophic binary topological spaces. We plead them the axioms of neutrosophic binary separation axioms associated in the neutrosophic binary kernel. Also we studied its characteristics and the relationships between these new neutrosophic binary separation axioms and their relationships with some other properties.  

Keywords: Neutrosophic Set; Neutrosophic Binary Separation; Neutrosophic Binary Kernel Set; binary topological spaces