1
Department of Mathematics, Annamalai University, Annamalai Nagar - 608 002, India
(surendrasarathi47@gmail.com)
2
Department of Mathematics, Annamalai University, Annamalai Nagar - 608 002, India; Department of Mathematics, M.Kumarasamy College of Engineering, Karur - 639 113, India
(chitrakalalaksana@gmail.com)
3
Department of Mathematics, Annamalai University, Annamalai Nagar - 608 002, India; Department of Mathematics, Arignar Anna Government Arts College, Namakkal - 637 002, India
(avmaths@gmail.com)
Abstract :
In this paper, neutrosphic hypersoft δ-open sets are introduced by defining the neutrosophic hypersoft regular open sets, pre-open sets, δ-interior and δ-closure. Under the guidance of these definitions, neutrosophic hyper- soft δ semi-open sets and δ pre-open sets are also introduced. Further, we have deduced inuitionistic hypersoft topology and fuzzy hypersoft topology from the neutrosophic hypersoft topology. Moreover, we discuss about the relations between neutrosphic hypersoft δ-open sets, δ semi-open sets, δ pre-open sets, semi-open sets and pre-open sets and their properties with examples.
Keywords :
neutrosophic hypersoft pre-open sets; neutrosophic hypersoft δ open sets; neutrosophic hyper- soft δ-semi open sets; neutrosophic hypersoft δ-pre open sets
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| Style | # |
|---|---|
| MLA | P. Surendra, K. Chitirakala, A. Vadivel. "δ-open sets in Neutrosophic Hypersoft Topological Spaces." International Journal of Neutrosophic Science, Vol. 20, No. 4, 2023 ,PP. 93-105 (Doi : https://doi.org/10.54216/IJNS.200407) |
| APA | P. Surendra, K. Chitirakala, A. Vadivel. (2023). δ-open sets in Neutrosophic Hypersoft Topological Spaces. Journal of International Journal of Neutrosophic Science, 20 ( 4 ), 93-105 (Doi : https://doi.org/10.54216/IJNS.200407) |
| Chicago | P. Surendra, K. Chitirakala, A. Vadivel. "δ-open sets in Neutrosophic Hypersoft Topological Spaces." Journal of International Journal of Neutrosophic Science, 20 no. 4 (2023): 93-105 (Doi : https://doi.org/10.54216/IJNS.200407) |
| Harvard | P. Surendra, K. Chitirakala, A. Vadivel. (2023). δ-open sets in Neutrosophic Hypersoft Topological Spaces. Journal of International Journal of Neutrosophic Science, 20 ( 4 ), 93-105 (Doi : https://doi.org/10.54216/IJNS.200407) |
| Vancouver | P. Surendra, K. Chitirakala, A. Vadivel. δ-open sets in Neutrosophic Hypersoft Topological Spaces. Journal of International Journal of Neutrosophic Science, (2023); 20 ( 4 ): 93-105 (Doi : https://doi.org/10.54216/IJNS.200407) |
| IEEE | P. Surendra, K. Chitirakala, A. Vadivel, δ-open sets in Neutrosophic Hypersoft Topological Spaces, Journal of International Journal of Neutrosophic Science, Vol. 20 , No. 4 , (2023) : 93-105 (Doi : https://doi.org/10.54216/IJNS.200407) |