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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 18Issue 4PP: 192-203 • 2022

On the Structure of Number of Neutrosophic Clopen Topological Space

Jili Basumatary 1* ,
Bhimraj Basumatary 1 ,
Said Broumi 2
1Department of Mathematical Sciences, Bodoland University, Kokrajhar, INDIA
2Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, Casablanca, Morocco ;Regional Center for the Professions of Education and Training, Casablanca-Settat
* Corresponding Author.
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© 2022 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: March 16, 2022 Accepted: June 27, 2022

Abstract

Let X be a finite set having n elements. The formula for giving the number of topologies T(n) is still not obtained.

If the number of elements n of a finite set is small, we can compute it by hand. However, the difficulty

of finding the number of the topology increases when n becomes large. A topology describes how elements of

a set are spatially related to each other, and the same set can have different topologies. Studying this particular

area is also a highly valued part of the topology, and this is one of the fascinating and challenging research

areas. Note that the explicit formula for finding the number of topologies is undetermined till now, and many

researchers are researching this particular area. This paper is towards the formulae for finding the number of

neutrosophic clopen topological spaces having two, three, four, and five open sets. In addition, some properties

related to formulae are determined.

Keywords

Combinatorics Neutrosophic Set Neutrosophic Clopen Topological Space Number of Neutrosophic Clopen Topological Space

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Cite This Article

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format_quote
Basumatary, Jili, Basumatary, Bhimraj, Broumi, Said. "On the Structure of Number of Neutrosophic Clopen Topological Space." International Journal of Neutrosophic Science, vol. Volume 18, no. Issue 4, 2022, pp. 192-203. DOI: https://doi.org/10.54216/IJNS.180418
Basumatary, J., Basumatary, B., Broumi, S. (2022). On the Structure of Number of Neutrosophic Clopen Topological Space. International Journal of Neutrosophic Science, Volume 18(Issue 4), 192-203. DOI: https://doi.org/10.54216/IJNS.180418
Basumatary, Jili, Basumatary, Bhimraj, Broumi, Said. "On the Structure of Number of Neutrosophic Clopen Topological Space." International Journal of Neutrosophic Science Volume 18, no. Issue 4 (2022): 192-203. DOI: https://doi.org/10.54216/IJNS.180418
Basumatary, J., Basumatary, B., Broumi, S. (2022) 'On the Structure of Number of Neutrosophic Clopen Topological Space', International Journal of Neutrosophic Science, Volume 18(Issue 4), pp. 192-203. DOI: https://doi.org/10.54216/IJNS.180418
Basumatary J, Basumatary B, Broumi S. On the Structure of Number of Neutrosophic Clopen Topological Space. International Journal of Neutrosophic Science. 2022;Volume 18(Issue 4):192-203. DOI: https://doi.org/10.54216/IJNS.180418
J. Basumatary, B. Basumatary, S. Broumi, "On the Structure of Number of Neutrosophic Clopen Topological Space," International Journal of Neutrosophic Science, vol. Volume 18, no. Issue 4, pp. 192-203, 2022. DOI: https://doi.org/10.54216/IJNS.180418
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