1
Research Scholar Department of Mathematics Kongunadu Arts and Science College(Autonomous) Coimbatore-641 029, Tamilnadu, India
(venishya123@gmail.com)
2
Department of Mathematics Kongunadu Arts and Science College(Autonomous) Coimbatore-641 029, Tamilnadu, India
(vidyarani16@gmail.com)
3
Department of Mathematics Kongunadu Arts and Science College(Autonomous) Coimbatore-641 029, Tamilnadu, India
(vigneshmaths@kongunaducollege.ac.in)
Abstract :
As a generalization of crisp topology, neutrosophic crisp topology was introduced. As a progression, binary
neutrosophic crisp sets were introduced in this article and their properties were also studied. With the idea that
neutrosophic crisp points forms the basis for the neutrosophic neighborhood structures, new points namely
binary neutrosophic crisp points were introduced in this article. Owing to the new points, binary neutrosophic
neighborhood structure in the new space named as binary neutrosophic crisp topological space is framed.
Eventually properties of binary neutrosophic crisp neighborhoods were discussed.
Keywords :
BNCS , BNCP , BNC neighborhoods and BNCT.
References :
[1] AHMED B.AL-NAFEE, A.A.S ALAMA, F LORENTIN SAMARANDACHE: New Types of Neutrosophic Crisp
closed sets, Neutrosophic sets and systems, 36(2020), 176-183.
[2] D.COKER: A note on intuitionistic sets and intuitionistic points, Turkish Journal Mathamatics, 20-3(1996), 343-351.
[3] ERDAL COSKUN AND DOGAN COKER: On Neighborhood structures in intuitionistic topological spaces,
Mathematica Balkanica, 12(1998), 283-293.
[4] D.C.KENT WON KEUN MIN: Neighborhood spaces, The International Journal of Mathematics and Mathematical Sciences, 32(7)(2002), 387-399.
[5] M.LELLIS THIVAGAR AND J.KAVITHA : On binary structure of Supra topological spaces, Boletim da Sociedade Paranaense de Matematica, 35(3), (2017), 25-37.
[6] GAUTAM CHANDRA RAY AND AND SUDEEP DEY: Neutrosophic point and its neighbourhood structure,
Neutrosophic Sets and Systems, 43(2021), 156-168.
[7] A.A.SALAMA: Neutrosophic Crisp Points and Neutrosophic Crisp Ideals, Neutrosophic Sets and Systems, 1(2013), 1-5.
[8] A.A.SALAMA,F LORENTIN SAMARANDACHE AND VALERI KROUMOV: Neutrosophic crisp sets and Neutrosophic crisp topological spaces, Neutrosophic theory and its applications, collected papers-I, 206-211.
[9] S.NITHYANANTHA J OTHI AND P.THANGAVELU : Topology between two sets, Journal of Mathematical Sciences and computer applications, 1(3), (2011), 95-107.
[10] L.VIDYARANI AND A.G.ROSE VENISH: On binary intuitionistic points and binary intuitionistic neighborhood structures of intuitionistic topological spaces, submitted.
| Style | # |
|---|---|
| MLA | A.G.Rose Venish, L. Vidyarani, M.Vigneshwaran. "On Binary Neutrosophic Crisp Points And Binary Neutrosophic Neighborhoods." Full Length Article, Vol. 5, No. 1, 2023 ,PP. 15-22 (Doi : https://doi.org/10.54216/JNFS.050102) |
| APA | A.G.Rose Venish, L. Vidyarani, M.Vigneshwaran. (2023). On Binary Neutrosophic Crisp Points And Binary Neutrosophic Neighborhoods. Journal of Full Length Article, 5 ( 1 ), 15-22 (Doi : https://doi.org/10.54216/JNFS.050102) |
| Chicago | A.G.Rose Venish, L. Vidyarani, M.Vigneshwaran. "On Binary Neutrosophic Crisp Points And Binary Neutrosophic Neighborhoods." Journal of Full Length Article, 5 no. 1 (2023): 15-22 (Doi : https://doi.org/10.54216/JNFS.050102) |
| Harvard | A.G.Rose Venish, L. Vidyarani, M.Vigneshwaran. (2023). On Binary Neutrosophic Crisp Points And Binary Neutrosophic Neighborhoods. Journal of Full Length Article, 5 ( 1 ), 15-22 (Doi : https://doi.org/10.54216/JNFS.050102) |
| Vancouver | A.G.Rose Venish, L. Vidyarani, M.Vigneshwaran. On Binary Neutrosophic Crisp Points And Binary Neutrosophic Neighborhoods. Journal of Full Length Article, (2023); 5 ( 1 ): 15-22 (Doi : https://doi.org/10.54216/JNFS.050102) |
| IEEE | A.G.Rose Venish, L. Vidyarani, M.Vigneshwaran, On Binary Neutrosophic Crisp Points And Binary Neutrosophic Neighborhoods, Journal of Full Length Article, Vol. 5 , No. 1 , (2023) : 15-22 (Doi : https://doi.org/10.54216/JNFS.050102) |