ASPG Menu
search

American Scientific Publishing Group

verified Journal

International Journal of Neutrosophic Science

ISSN
Online: 2690-6805 Print: 2692-6148
Frequency

Continuous publication

Publication Model

Open access · Articles freely available online · $500 APC applies after acceptance

International Journal of Neutrosophic Science
Full Length Article

Volume 26Issue 3PP: 331-338 • 2025

A Study on NCT-Filters in NCT-Topological Spaces

Dheargham Ali Abdulsada 1* ,
Audy Hatim Saheb 2 ,
Rasheed Al-Salih 1 ,
Mohammed Hadi Lafta 1
1Department of Mathematics, College of Education, University of Sumer, Iraq
2Department of Mathematics, College of Education for Pure Sciences, University of Babylon, Iraq
* Corresponding Author.
verified

Open Access & Copyright

© 2025 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: December 18, 2024 Revised: February 01, 2025 Accepted: March 01, 2025

Abstract

In this research, we introduce and develop new concepts in the field of Neutrosophic Topology (NCT). Particularly our study is focusing on the filter and its properties. Also, we present the properties of convergence of -filter, a specialized filter that incorporates neutrosophic values, providing a robust approach to handle uncertainty in topological spaces. Additionally, we explore the concept of adherent points in neutrosophic crisp triple topological spaces, offering a new perspective on the study of these spaces. Moreover, our findings contribute to expanding the understanding and application of neutrosophic theories in topology that will provide a solid foundation for future research in this area. Furthermore, this work opens new avenues for the study of topological spaces under uncertainty, with potential Applications in various domains, including data analysis, decision-making, and artificial intelligence, among others.

Keywords

NCT-Set NCT-Point NCT-Filter NCT-Ultra Filter

References

[1]       F. Smarandache, Neutrosophy: Neutrosophic Probability, Set, and Logic, ProQuest Information & Learning, 1998.

[2]       F. Smarandache, "A Unifying Field in Logics: Neutrosophic Logic," Multiple-Valued Logic, vol. 8, no. 3, pp. 385-498, 2002.

[3]       M. Shabir and M. Naz, "On Neutrosophic Topological Spaces," Journal of Intelligent & Fuzzy Systems, vol. 26, no. 4, pp. 1965-1972, 2014.

[4]       M. Eissa and A. E. Radwan, "Neutrosophic Closed Sets and Their Properties," Journal of Mathematical Analysis, vol. 12, no. 3, pp. 125-140, 2017.

[5]       H. M. Al-Obaidi and Q. H. Imran, "On new types of weakly neutrosophic crisp open mappings," Iraqi Journal of Science, vol. 62, no. 8, pp. 2660-2666, 2021.

[6]       Q. H. Imran, A. H. M. Al-Obaidi, F. Smarandache, and Md. Hanif PAGE, "On some new concepts of weakly neutrosophic crisp separation axioms," Neutrosophic Sets and Systems, vol. 51, pp. 330-343, 2022.

[7]       Q. H. Imran, K. S. Tanak, and A. H. M. Al-Obaidi, "On new concepts of neutrosophic crisp open sets," Journal of Interdisciplinary Mathematics, vol. 25, no. 2, pp. 563-572, 2022.

[8]       R. R. Yager, "Neutrosophic Logic in Medical Diagnosis," Artificial Intelligence in Medicine, vol. 48, no. 2, pp. 125-137, 2019.

[9]       H. Wang, "Applications of Neutrosophic Topology in Decision Making," International Journal of Approximate Reasoning, vol. 110, pp. 23-40, 2020.

[10]    P. Smets, "Neutrosophic Methods in Machine Learning," IEEE Transactions on Fuzzy Systems, vol. 29, no. 5, pp. 985-999, 2021.

[11]    D. A. Abdulsada, L. A. A. Al-Swidi, and M. H. Hadi, "On NCT-Set Theory," Neutrosophic Sets and Systems, vol. 68, 2024.

Cite This Article

Choose your preferred format

format_quote
Abdulsada, Dheargham Ali, Saheb, Audy Hatim, Al-Salih, Rasheed, Lafta, Mohammed Hadi. "A Study on NCT-Filters in NCT-Topological Spaces." International Journal of Neutrosophic Science, vol. Volume 26, no. Issue 3, 2025, pp. 331-338. DOI: https://doi.org/10.54216/IJNS.260324
Abdulsada, D., Saheb, A., Al-Salih, R., Lafta, M. (2025). A Study on NCT-Filters in NCT-Topological Spaces. International Journal of Neutrosophic Science, Volume 26(Issue 3), 331-338. DOI: https://doi.org/10.54216/IJNS.260324
Abdulsada, Dheargham Ali, Saheb, Audy Hatim, Al-Salih, Rasheed, Lafta, Mohammed Hadi. "A Study on NCT-Filters in NCT-Topological Spaces." International Journal of Neutrosophic Science Volume 26, no. Issue 3 (2025): 331-338. DOI: https://doi.org/10.54216/IJNS.260324
Abdulsada, D., Saheb, A., Al-Salih, R., Lafta, M. (2025) 'A Study on NCT-Filters in NCT-Topological Spaces', International Journal of Neutrosophic Science, Volume 26(Issue 3), pp. 331-338. DOI: https://doi.org/10.54216/IJNS.260324
Abdulsada D, Saheb A, Al-Salih R, Lafta M. A Study on NCT-Filters in NCT-Topological Spaces. International Journal of Neutrosophic Science. 2025;Volume 26(Issue 3):331-338. DOI: https://doi.org/10.54216/IJNS.260324
D. Abdulsada, A. Saheb, R. Al-Salih, M. Lafta, "A Study on NCT-Filters in NCT-Topological Spaces," International Journal of Neutrosophic Science, vol. Volume 26, no. Issue 3, pp. 331-338, 2025. DOI: https://doi.org/10.54216/IJNS.260324
policy

Publisher's Note

The statements, opinions, and data presented in this article are solely those of the author(s) and do not necessarily represent those of ASPG, the journal, or its editors. ASPG and the editors disclaim responsibility for any harm arising from the use of any ideas, methods, instructions, or products described in this article, to the fullest extent permitted by applicable law.

Digital Archive Ready