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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 23 , Issue 4 , PP: 194-205, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

Single-Valued Pentapartitioned Neutrosophic Bi-Topological Spaces

Suman Das 1 , Prasanna Poojary 2 , Vadiraja Bhatta G. R. 3 * , Sunny Kumar Sharma 4

  • 1 Department of Mathematics, Tripura University, Agartala, 799022, Tripura, India - (sumandas18842@gmail.com)
  • 2 Department of Mathematics, Manipal Institute of Technology Bengaluru, Manipal Academy of Higher Education, Manipal, India - (poojary.prasanna@manipal.edu)
  • 3 Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, India - (poojaryprasanna34@gmail.com)
  • 4 Department of Mathematics, Manipal Institute of Technology Bengaluru, Manipal Academy of Higher Education, Manipal, India - (sunny.sharma@manipal.edu)

    • Doi: https://doi.org/10.54216/IJNS.230415

    Received: June 24, 2023 Revised: January 19, 2024 Accepted: March 08, 2024
    Abstract

    In this article, we present the notion of Single-Valued Pentapartitioned Neutrosophic Bi-Topological Space (SVPNBTS) as a generalization of Single-Valued Pentapartitioned Neutrosophic Topological Space (SVPNTS) and Neutrosophic Bi-Topological Space (NBTS). Besides, we study the different types of open set and closed set namely single-valued pentapartitioned neutrosophic bi-open set (SVPNBOS), single-valued pentapartitioned neutrosophic bi-closed set (SVPNBCS), single-valued pentapartitioned neutrosophic bi-semi-open set (SVPNBSOS), single-valued pentapartitioned neutrosophic bi-semi-closed set (SVPNBSCS), single-valued pentapartitioned neutrosophic bi-pre-open set (SVPNBPOS), single-valued pentapartitioned neutrosophic bi-pre-closed set (SVPNBPCS), single-valued pentapartitioned neutrosophic bi-b-open set (SVPNBb-OS), single-valued pentapartitioned neutrosophic bi-b-closed set (SVPNBb-CS), etc. via SVPNBTSs. Besides, we introduce the notion of pairwise SVPNOS, pairwise SVPNCS, pairwise SVPNSOS, pairwise SVPNSCS, pairwise SVPNPOS, pairwise SVPNPCS, pairwise SVPNb-OS, pairwise SVPNb-CS, and furnish few illustrative examples on them. Further, we investigate several properties of these classes of sets and prove some interesting results in the form of propositions, theorems, etc. via SVPNBTSs.

    Keywords :

    SVPNBTS , Bi-open set , Bi-closed set , Bi-semi-open set , Bi-pre-open set , NBTS.

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    Cite This Article As :
    Das, Suman. , Poojary, Prasanna. , Bhatta, Vadiraja. , Kumar, Sunny. Single-Valued Pentapartitioned Neutrosophic Bi-Topological Spaces. International Journal of Neutrosophic Science, vol. , no. , 2024, pp. 194-205. DOI: https://doi.org/10.54216/IJNS.230415
    Das, S. Poojary, P. Bhatta, V. Kumar, S. (2024). Single-Valued Pentapartitioned Neutrosophic Bi-Topological Spaces. International Journal of Neutrosophic Science, (), 194-205. DOI: https://doi.org/10.54216/IJNS.230415
    Das, Suman. Poojary, Prasanna. Bhatta, Vadiraja. Kumar, Sunny. Single-Valued Pentapartitioned Neutrosophic Bi-Topological Spaces. International Journal of Neutrosophic Science , no. (2024): 194-205. DOI: https://doi.org/10.54216/IJNS.230415
    Das, S. , Poojary, P. , Bhatta, V. , Kumar, S. (2024) . Single-Valued Pentapartitioned Neutrosophic Bi-Topological Spaces. International Journal of Neutrosophic Science , () , 194-205 . DOI: https://doi.org/10.54216/IJNS.230415
    Das S. , Poojary P. , Bhatta V. , Kumar S. [2024]. Single-Valued Pentapartitioned Neutrosophic Bi-Topological Spaces. International Journal of Neutrosophic Science. (): 194-205. DOI: https://doi.org/10.54216/IJNS.230415
    Das, S. Poojary, P. Bhatta, V. Kumar, S. "Single-Valued Pentapartitioned Neutrosophic Bi-Topological Spaces," International Journal of Neutrosophic Science, vol. , no. , pp. 194-205, 2024. DOI: https://doi.org/10.54216/IJNS.230415

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