Separation Axioms in Quadri-Partition Neutrosophic Soft Topological Spaces

Authors

  • Maha Mohammed Saeed Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, 15 Saudi, Arabia
  • Raed Hatamleh Department of Mathematics, Faculty of Science, Jadara University, P.O. Box 733, Irbid,21110, Jordan
  • Alaa M. Abd El-latif Department of Mathematics, College of Science, Northern Border University, Arar 91431, Saudi Arabia
  • Abdallah Al-Husban Department of Mathematics, Faculty of Science and Technology, Irbid National University, P.O. Box: 2600 Irbid, Jordan
  • Takaaki Fujita Shinjuku, Shinjuku-ku, Tokyo, Japan.
  • Cris L. Armada Vietnam National University Ho Chi Minh City, Linh Trung Ward, Thu Duc City, Ho Chi Minh City, Vietnam
  • Rabia Andleeb Department of Mathematics, Institute of Numerical Sciences, Gomal University, Dera Ismail Khan 29050, KPK, Pakistan
  • Arif Mehmood Khattak Department of Mathematics and Statistics, Riphah International University, Sector I- 14, Islamabad, Pakistan

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i3.6324

Keywords:

Neutrosophic soft set, quadri-partitioned neutrosophic soft set, quadri-partitioned neutrosophic soft topological space, quadri-partitioned neutrosophic soft separation axioms.

Abstract

This study introduces and explores the concepts of separation axioms within the framework of quadri-partitioned neutrosophic soft topological space (QPNSTS). These spaces are an extension of neutrosophic soft topological structures, designed to handle higher levels of uncertainty through quadri-partitioned neutrosophic soft sets (QPNSs). We presented new definitions and properties of -spaces (i = 0, 1, 2, 3, 4) in this extended context, offering detailed criteria that distinguish these separation conditions. Through a series of illustrative examples, we demonstrate how these conditions behave and interact within the structure of QPNSTS. The relationships among these separation axioms, as well as their connections to other results, are also discussed.

Author Biographies

  • Maha Mohammed Saeed, Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, 15 Saudi, Arabia

    Prof

    Mathematics

  • Raed Hatamleh, Department of Mathematics, Faculty of Science, Jadara University, P.O. Box 733, Irbid,21110, Jordan

    Prof

    Mathematics

  • Abdallah Al-Husban, Department of Mathematics, Faculty of Science and Technology, Irbid National University, P.O. Box: 2600 Irbid, Jordan

    Prof

     

    Mathematics

  • Takaaki Fujita, Shinjuku, Shinjuku-ku, Tokyo, Japan.

    Prof

    Mathematics

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Published

2025-08-01

Issue

Vol. 18 No. 3: (July 2025)

Section

Topology

License

Copyright (c) 2025 Maha Mohammed Saeed, Raed Hatamleh, Abdallah Al-Husban, Takaaki Fujita, Arif Mehmood Khattak

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How to Cite

Separation Axioms in Quadri-Partition Neutrosophic Soft Topological Spaces. (2025). European Journal of Pure and Applied Mathematics, 18(3), 6324. https://doi.org/10.29020/nybg.ejpam.v18i3.6324