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International Journal of Neutrosophic Science
Volume 14 , Issue 1, PP: 47-56 , 2021 | Cite this article as | XML |PDF

Title

Neutrosophic Soft Bitopological Spaces

Authors Names :   Ahmed B. AL-Nafee   1 *     Said Broumi   2     Florentin Smarandache   3  

1  Affiliation :  Ministry of Education Open Educational College, Department of Mathematics, Babylon, Iraq.

    Email :  Ahm_math_88@yahoo.com


2  Affiliation :  Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, B.P 7955, Morocco.

    Email :  broumisaid78@gmail.com


3  Affiliation :  Deparment of Mathematics ,University of New Mexico 705 AVE Gallup, NM 87301, USA.

    Email :  smarand@unm.edu



Doi   :   https://doi.org/10.54216/IJNS.140104

November 20, 2020 Accepted: March 25, 2021

Abstract :

 

In this paper, we built bitopological space on the concept of neutrosophic soft set, we defined the basic topological concepts of this spaces which are N3-(bi)*-open set, N3-(bi)*-closed set, (bi)*-neutrosophic soft interior, (bi)neutrosophic soft closure, (bi)*-neutrosophic soft boundary, (bi)*-neutrosophic soft exterior and we introduced their properties. In addition, we investigated the relations of these basic topological concepts with their counterparts in neutrosophic soft topological spaces and we introduced many examples.

 

Keywords :

Neutrosophic soft bitopological Spaces , star bineutrosophic soft open set , star bi neutrosophic soft closed set.

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Cite this Article as :
Ahmed B. AL-Nafee , Said Broumi , Florentin Smarandache, Neutrosophic Soft Bitopological Spaces, International Journal of Neutrosophic Science, Vol. 14 , No. 1 , (2021) : 47-56 (Doi   :  https://doi.org/10.54216/IJNS.140104)