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International Journal of Neutrosophic Science
Volume 18 , Issue 4, PP: 192-203 , 2022 | Cite this article as | XML | Html |PDF


On the Structure of Number of Neutrosophic Clopen Topological Space

Authors Names :   Jili Basumatary   1 *     Bhimraj Basumatary   2     Said Broumi   3  

1  Affiliation :  Department of Mathematical Sciences, Bodoland University, Kokrajhar, INDIA

    Email :  jilibasumatary@gmail.com

2  Affiliation :  Department of Mathematical Sciences, Bodoland University, Kokrajhar, INDIA

    Email :  brbasumatary14@gmail.com

3  Affiliation :  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

    Email :  broumisaid78@gmail.com

Doi   :   https://doi.org/10.54216/IJNS.180418

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 as :
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) : 192-203 (Doi   :  https://doi.org/10.54216/IJNS.180418)