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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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International Journal of Neutrosophic Science
Full Length Article

Volume 25Issue 1PP: 130-136 • 2025

On The Topological Spaces of Neutrosophic Real Intervals

Raed Hatamleh 1* ,
Ayman Hazaymeh 1
1Department of Mathematics, Faculty of Science and Information Technology, Jadara University, P.O. Box 733, Irbid 21110, Jordan
* Corresponding Author.
Received: September 20, 2023 Revised: February 05, 2024 Accepted: June 02, 2024

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. &nbsp

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Hatamleh, Raed, Hazaymeh, Ayman. "On The Topological Spaces of Neutrosophic Real Intervals." International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 1, 2025, pp. 130-136. DOI: https://doi.org/10.54216/IJNS.250111
Hatamleh, R., Hazaymeh, A. (2025). On The Topological Spaces of Neutrosophic Real Intervals. International Journal of Neutrosophic Science, Volume 25(Issue 1), 130-136. DOI: https://doi.org/10.54216/IJNS.250111
Hatamleh, Raed, Hazaymeh, Ayman. "On The Topological Spaces of Neutrosophic Real Intervals." International Journal of Neutrosophic Science Volume 25, no. Issue 1 (2025): 130-136. DOI: https://doi.org/10.54216/IJNS.250111
Hatamleh, R., Hazaymeh, A. (2025) 'On The Topological Spaces of Neutrosophic Real Intervals', International Journal of Neutrosophic Science, Volume 25(Issue 1), pp. 130-136. DOI: https://doi.org/10.54216/IJNS.250111
Hatamleh R, Hazaymeh A. On The Topological Spaces of Neutrosophic Real Intervals. International Journal of Neutrosophic Science. 2025;Volume 25(Issue 1):130-136. DOI: https://doi.org/10.54216/IJNS.250111
R. Hatamleh, A. Hazaymeh, "On The Topological Spaces of Neutrosophic Real Intervals," International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 1, pp. 130-136, 2025. DOI: https://doi.org/10.54216/IJNS.250111
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