On neutrosophic crisp soft separation axioms via neutrosophic crisp soft set in neutrosophic crisp soft topological space

Authors

  • Riad K. Al-Hamido * Faculty of Science, AlFurat University, Deir-ez-Zor, Syrian Arab Republic. Cordoba Private University, AL Qamishli Branch, Syrian Arab Republic.
  • Florentin Smarandache Department of Mathematics, University of New Mexico 705 Gurley Ave. Gallup, NM 87301, USA.

https://doi.org/10.48313/uda.vi.58

Abstract

In this pioneering study, we introduce the concept of Neutrosophic Crisp Soft Sets (NCSSs) for the first time globally. Using this new class of sets, we examine “Neutrosophic Crisp Soft Topological Space” (NCSTS) and identify many key properties. Additionally, we extend the concept of neutrosophic crisp points to Neutrosophic Crisp Soft Points (NCSPs), which then form the basis for discovering a novel type of “neutrosophic crisp soft separation axioms” within “NCSTSs”. We further explore the relationships between these separation axioms and provide insightful remarks and theorems related to these concepts. Moreover, this research presents fundamental definitions of NCSSs, including operations such as union and intersection. We also demonstrate their applicability through theorems, remarks, and examples. These new sets prove valuable in decision-making processes across diverse fields such as economics, agriculture, medicine, engineering, and others.

Keywords:

Neutrosophic crisp soft sets, Neutrosophic crisp soft points, Neutrosophic crisp soft separation axioms, Neutrosophic crisp soft topological space

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Published

2026-09-06

Issue

Vol. 2 No. 4 (2025): Uncertainty Discourse and Applications

Section

Articles

How to Cite

Al-Hamido, R. K., & Smarandache, F. (2026). On neutrosophic crisp soft separation axioms via neutrosophic crisp soft set in neutrosophic crisp soft topological space. Uncertainty Discourse and Applications, 2(4), 275-289. https://doi.org/10.48313/uda.vi.58

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