International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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Volume 25 , Issue 1 , PP: 130-136, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

On The Topological Spaces of Neutrosophic Real Intervals

Raed Hatamleh 1 , Ayman Hazaymeh 2

  • 1 Department of Mathematics, Faculty of Science and Information Technology, Jadara University, P.O. Box 733, Irbid 21110, Jordan - (raed@jadara.edu.jo)
  • 2 Department of Mathematics, Faculty of Science and Information Technology, Jadara University, P.O. Box 733, Irbid 21110, Jordan - (aymanha@jadara.edu.jo)
  • Doi: https://doi.org/10.54216/IJNS.250111

    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.

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    Cite This Article As :
    Hatamleh, Raed. , Hazaymeh, Ayman. On The Topological Spaces of Neutrosophic Real Intervals. International Journal of Neutrosophic Science, vol. , no. , 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, (), 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 , no. (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 , () , 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. (): 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, vol. , no. , pp. 130-136, 2025. DOI: https://doi.org/10.54216/IJNS.250111