On Neutrosophic D –Topological Spaces

Amer Khrija Abed^1,*, Ekram Abd Ali², Ahmed Salam Razzaq³, Qays Hatem Imran⁴, Said Broumi⁵

^1,2,3,4Department of Mathematics, College of Education for Pure Science, Al-Muthanna University, Samawah, Iraq

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

Morocco.

Emails: amer.khrija@mu.edu.iq; ekramalimth@mu.edu.iq; Ahmed.salam@mu.edu.iq;  qays.imran@mu.edu.iq;  

broumisaid78@gmail.com

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

Abstract

In this paper, we redefine the dense neutrosophic set operations and, by using them, we introduce new definition for topological space in neutrosophic topological space and also gives the basic specifications for the new definitions of neutrosophic topological space in neutrosophic topological space, we also obtained some properties that show the relationship between neutrosophic topological space and neutrosophic semi-open sets in the neutrosophic topological space, we also studied image characterization and preimages of neutrosophic    topological  space .

Keywords: Neutrosophic dense set; neutrosophic semi-open; neutrosophic topological space; neutrosophic semi-continuous (irresolute) function.