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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

    References

    [1] A. Acikgoz and F. Esenbel, Neutrosophic soft δ-topology and neutrosophic soft compactness, AIP Conference Proceedings 2183, 030002, (2019).

    [2] D. Ajay and J. Joseline Charisma, Neutrosophic hypersoft topological spaces, Neutrosophic Sets and Systems, 40 (2021), 178-194.

    [3] D. Ajay, J. Joseline Charisma, N. Boonsatit, P. Hammachukiattikul and G. Rajchakit Neutrosophic semiopen hypersoft sets with an application to MAGDM under the COVID-19 scenario, Hindawi Journal of Mathematics, 2021 (2021), 1-16.

    [4] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1986), 87-96.

    [5] T. Bera and N. K. Mahapatra, Introduction to neutrosophic soft topological space, Opsearch, 54, (2017), 841-867.

    [6] C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl., 24 (1968), 182-190.

    [7] D. Coker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems, 88 (1997), 81-89.

    [8] I. Deli and S. Broumi, Neutrosophic soft relations and some properties, Ann. Fuzzy Math. Inform., 9, (2015), 169-182.

    [9] P. K. Maji, Neutrosophic soft set, Ann. Fuzzy Math. Inform., 5. (2013), 157-168.

    [10] D. Molodtsov, Soft set theory-first results, Comput. Math. Appl., 37, (1999), 19-31.

    [11] T. Y. Ozturk and A. Yolcu, On Neutrosophic hypersoft topological spaces, Theory and Application of Hypersoft Set, Pons Publishing House, Brussels, Chapter 12, (2021), 223-234.

    [12] S. Saha, Fuzzy δ-continuous mappings, Journal of Mathematical Analysis and Applications, 126 (1987), 130-142.

    [13] A. A. Salama and S. A. Alblowi, Neutrosophic set and neutrosophic topological spaces, IOSR Journal of Mathematics, 3 (4) (2012), 31-35.

    [14] M. Saqlain, S. Moin, M.N. Jafar, M. Saeed and F. Smarandache, Aggregate operators of neutrosophic hypersoft set, Neutrosophic Sets and Systems, 32 (1), (2020), 294-306.

    [15] M. Shabir and M.Naz, On soft topological spaces, Comput. Math. Appl., 61, (2011), 1786-1799.

    [16] F. Smarandache, A Unifying field in logics: neutrosophic logic. neutrosophy, neutrosophic set, neutrosophic probability, American Research Press, Rehoboth, NM, (1999).

    [17] F. Smarandache, Neutrosophic set: A generalization of the intuitionistic fuzzy sets, Inter. J. Pure Appl. Math., 24 (2005), 287-297.

    [18] F. Smarandache, Extension of soft set to hypersoft set, and then to plithogenic hypersoft set , Neutrosophic Sets and Systems, 22, (2018), 168-170.

    [19] A. Vadivel, M. Seenivasan and C. John Sundar, An introduction to δ-open sets in a neutrosophic topological spaces, Journal of Physics: Conference series, 1724 (2021), 012011.

    [20] A. Vadivel and C. John Sundar, Neutrosophic δ-Open Maps and Neutrosophic δ-Closed Maps, International Journal of Neutrosophic Science (IJNS), 13 (2) (2021), 66-74.

    [21] A. Vadivel and C. John Sundar, Nncδ-Open Sets, South East Asian Journal of Mathematics and Mathematical Sciences, 18 (3) (2022), 207-216.

    [22] A. Vadivel , C. John Sundar , K. Kirubadevi and S. Tamilselvan, More on Neutrosophic Nano Open Sets, International Journal of Neutrosophic Science, 18 (4) (2022), 204-222.

    [23] A. Vadivel , C. John Sundar , K. Saraswathi and S. Tamilselvan, Neutrosophic Nano M Open Sets, International Journal of Neutrosophic Science, 19 (1) (2022), 132-147.

    [24] L. A. Zadeh, Fuzzy sets, Information and Control, 8 (3), (1965), 338-353.

    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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