δ-open sets in Neutrosophic Hypersoft Topological Spaces

P.; K.; A.

doi:https://doi.org/10.54216/IJNS.200407

Full Length Article

Volume 20 • Issue 4 • PP: 93-105 • 2023

δ-open sets in Neutrosophic Hypersoft Topological Spaces

P. Surendra ^1*

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,

K. Chitirakala ²

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,

A. Vadivel ³

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¹Department of Mathematics, Annamalai University, Annamalai Nagar - 608 002, India

²Department of Mathematics, Annamalai University, Annamalai Nagar - 608 002, India; Department of Mathematics, M.Kumarasamy College of Engineering, Karur - 639 113, India

³Department of Mathematics, Annamalai University, Annamalai Nagar - 608 002, India; Department of Mathematics, Arignar Anna Government Arts College, Namakkal - 637 002, India

* Corresponding Author.

DOI https://doi.org/10.54216/IJNS.200407

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Received: December 09, 2022 Accepted: April 01, 2023

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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 &delta open sets neutrosophic hyper- soft &delta -semi open sets neutrosophic hypersoft &delta -pre open sets

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Surendra, P., Chitirakala, K., Vadivel, A.. "δ-open sets in Neutrosophic Hypersoft Topological Spaces." International Journal of Neutrosophic Science, vol. Volume 20, no. Issue 4, 2023, pp. 93-105. DOI: https://doi.org/10.54216/IJNS.200407

Surendra, P., Chitirakala, K., Vadivel, A. (2023). δ-open sets in Neutrosophic Hypersoft Topological Spaces. International Journal of Neutrosophic Science, Volume 20(Issue 4), 93-105. DOI: https://doi.org/10.54216/IJNS.200407

Surendra, P., Chitirakala, K., Vadivel, A.. "δ-open sets in Neutrosophic Hypersoft Topological Spaces." International Journal of Neutrosophic Science Volume 20, no. Issue 4 (2023): 93-105. DOI: https://doi.org/10.54216/IJNS.200407

Surendra, P., Chitirakala, K., Vadivel, A. (2023) 'δ-open sets in Neutrosophic Hypersoft Topological Spaces', International Journal of Neutrosophic Science, Volume 20(Issue 4), pp. 93-105. DOI: https://doi.org/10.54216/IJNS.200407

Surendra P, Chitirakala K, Vadivel A. δ-open sets in Neutrosophic Hypersoft Topological Spaces. International Journal of Neutrosophic Science. 2023;Volume 20(Issue 4):93-105. DOI: https://doi.org/10.54216/IJNS.200407

P. Surendra, K. Chitirakala, A. Vadivel, "δ-open sets in Neutrosophic Hypersoft Topological Spaces," International Journal of Neutrosophic Science, vol. Volume 20, no. Issue 4, pp. 93-105, 2023. DOI: https://doi.org/10.54216/IJNS.200407

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