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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 20 , Issue 4 , PP: 93-105, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

δ-open sets in Neutrosophic Hypersoft Topological Spaces

P. Surendra 1 * , K. Chitirakala 2 , A. Vadivel 3

  • 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)

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

    Received: December 09, 2022 Accepted: April 01, 2023
    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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    Cite This Article As :
    Surendra, P.. , Chitirakala, K.. , Vadivel, A.. δ-open sets in Neutrosophic Hypersoft Topological Spaces. International Journal of Neutrosophic Science, vol. , no. , 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, (), 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 , no. (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 , () , 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. (): 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, vol. , no. , pp. 93-105, 2023. DOI: https://doi.org/10.54216/IJNS.200407

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