On The Topological Spaces of Neutrosophic Real Intervals

 Raed Hatamleh^*, Ayman Hazaymeh

Department of Mathematics, Faculty of Science and Information Technology, Jadara University, P.O. Box 733, Irbid 21110, Jordan

Emails: raed@jadara.edu.jo; aymanha@jadara.edu.jo

Abstract

In this paper, we present the topological space of intervals based neutrosophic real numbers , where we clarify how neutrosophic real intervals can be expressed according to the neutrosophic partial order relation, and we use these intervals to build a topological space. On the other hand, we use a similar argument to build a topological space over the intervals of refined neutrosophic numbers, with many illustrated and related examples on open and closed sets.

Keywords: neutrosophic number; topological space; open set; closed set; neutrosophic interval.