1
Department of Mathematical Sciences, Bodoland University, Kokrajhar, INDIA
(jilibasumatary@gmail.com)
2
Department of Mathematical Sciences, Bodoland University, Kokrajhar, INDIA
(brbasumatary14@gmail.com)
3
Laboratory 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, Morocco
(broumisaid78@gmail.com)
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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| Style | # |
|---|---|
| MLA | Jili Basumatary, Bhimraj Basumatary, Said Broumi. "On the Structure of Number of Neutrosophic Clopen Topological Space." International Journal of Neutrosophic Science, Vol. 18, No. 4, 2022 ,PP. 192-203 (Doi : https://doi.org/10.54216/IJNS.180418) |
| APA | Jili Basumatary, Bhimraj Basumatary, Said Broumi. (2022). On the Structure of Number of Neutrosophic Clopen Topological Space. Journal of International Journal of Neutrosophic Science, 18 ( 4 ), 192-203 (Doi : https://doi.org/10.54216/IJNS.180418) |
| Chicago | Jili Basumatary, Bhimraj Basumatary, Said Broumi. "On the Structure of Number of Neutrosophic Clopen Topological Space." Journal of International Journal of Neutrosophic Science, 18 no. 4 (2022): 192-203 (Doi : https://doi.org/10.54216/IJNS.180418) |
| Harvard | Jili Basumatary, Bhimraj Basumatary, Said Broumi. (2022). On the Structure of Number of Neutrosophic Clopen Topological Space. Journal of International Journal of Neutrosophic Science, 18 ( 4 ), 192-203 (Doi : https://doi.org/10.54216/IJNS.180418) |
| Vancouver | Jili Basumatary, Bhimraj Basumatary, Said Broumi. On the Structure of Number of Neutrosophic Clopen Topological Space. Journal of International Journal of Neutrosophic Science, (2022); 18 ( 4 ): 192-203 (Doi : https://doi.org/10.54216/IJNS.180418) |
| IEEE | Jili Basumatary, Bhimraj Basumatary, Said Broumi, On the Structure of Number of Neutrosophic Clopen Topological Space, Journal of International Journal of Neutrosophic Science, Vol. 18 , No. 4 , (2022) : 192-203 (Doi : https://doi.org/10.54216/IJNS.180418) |