Submit Your Paper
  1. Home
  2. Journals
  3. International Journal of Neutrosophic Science

International Journal of Neutrosophic Science

Journal DOI

https://doi.org/10.54216/IJNS

Submit Your Paper

2690-6805ISSN (Online) 2692-6148ISSN (Print)
Submit Your Paper

Journal Menu

Homepage Journal Overview Editorial Board Submitting Articles Indexing & Abstracting

Journal Volumes

International Journal of Neutrosophic Science

Volume 26 , Issue 3 , PP: 132-142, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

MADM-Strategy using Grey Relational Analysis under Rough Single-Valued Pentapartitioned Neutrosophic Set Environment

Suman Das 1 , Rakhal Das 2 , Prasanna Poojary 3 , Surapati Pramanik 4 , Vadiraja Bhatta G. R. 5 *

  • 1 Department of Education (ITEP), National Institute of Technology Agartala, Jirania, 799046, Tripura, India - (sumandas18842@gmail.com)
  • 2 Department of Mathematics, the ICFAI University Tripura, Agartala, 799210, Tripura, India - (rakhaldas95@gmail.com)
  • 3 Department of Mathematics, Manipal Institute of Technology Bengaluru, Manipal Academy of Higher Education, Manipal, India - (poojary.prasanna@manipal.edu)
  • 4 Department of Mathematics, Nandalal Ghosh B.T. College, Narayanpur, 743126, West Bengal, India - (surapati.math@gmail.com)
  • 5 Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, India - (vadiraja.bhatta@manipal.edu)

    • Doi: https://doi.org/10.54216/IJNS.260309

    Received: January 23, 2025 Revised: February 25, 2025 Accepted: March 27, 2025
    Abstract

    This paper aims to introduce various operations in the context of the Rough Single-Valued Pentapartitioned Neutrosophic Set (RSVPNS) environment. Then, based on Grey Relational Analysis (GRA), we propose a Multi-Attribute Decision-Making (MADM) technique. Additionally, we present a practical numerical example to validate the proposed MADM technique in the context of selecting a tourist place for government initiatives aimed at enhancing its attractiveness to tourists.

    Keywords :

    SVNS , SVPNS , RSVPNS , GRA , Hamming Distance , MADM

    References

    [1]    S. Broumi, F. Smarandache, and M. Dhar, “Rough Neutrosophic Sets,” Neutrosophic Sets and Systems, vol. 3, pp. 60-65, 2014.

    [2]    S. Das, R. Das, and B. C. Tripathy, “Topology on Rough Pentapartitioned Neutrosophic Set,” Iraqi Journal of Science, vol. 63, no. 6, pp. 2630-2640, 2022.

    [3]    S. Das, B. Shil, and S. Pramanik, “A Novel Decision-Making Framework Using Neutrosophic Set Theory,” International Journal of Computational Intelligence Systems, vol. 14, no. 1, pp. 1-12, 2021.

    [4]    J. L. Deng, “Introduction to Grey System Theory,” The Journal of Grey System, vol. 1, no. 1, pp. 1-24, 1989.

    [5]    R. Mallick and S. Pramanik, “Pentapartitioned Neutrosophic Set and Its Properties,” Neutrosophic Sets and Systems, vol. 36, pp. 184-192, 2020.

    [6]    Z. Pawlak, “Rough Sets,” International Journal of Information and Computer Sciences, vol. 11, no. 5, pp. 341-356, 1982.

    [7]    Z. Pawlak and R. Sowinski, “Rough Set Approach to Multi Attribute Decision Analysis,” European Journal of Operational Research, vol. 72, no. 3, pp. 443-459, 1994.

    [8]    F. Smarandache and J. Dezert, “Generalized Neutrosophic Logic: A New Approach to Uncertainty,” Journal of Uncertainty Analysis and Applications, vol. 8, no. 2, pp. 1-12, 2020.

    [9]    H. Wang, F. Smarandache, Y. Q. Zhang, and R. Sunderraman, “Single Valued Neutrosophic Sets,” Multispace and Multistructure, vol. 4, pp. 410-413, 2010.

    [10] Q. Wu, “Rough Set Approximations in Grey Information System,” Journal of Computational Information Systems, vol. 6, no. 9, pp. 3057-3065, 2010.

    Cite This Article As :
    Das, Suman. , Das, Rakhal. , Poojary, Prasanna. , Pramanik, Surapati. , Bhatta, Vadiraja. MADM-Strategy using Grey Relational Analysis under Rough Single-Valued Pentapartitioned Neutrosophic Set Environment. International Journal of Neutrosophic Science, vol. , no. , 2025, pp. 132-142. DOI: https://doi.org/10.54216/IJNS.260309
    Das, S. Das, R. Poojary, P. Pramanik, S. Bhatta, V. (2025). MADM-Strategy using Grey Relational Analysis under Rough Single-Valued Pentapartitioned Neutrosophic Set Environment. International Journal of Neutrosophic Science, (), 132-142. DOI: https://doi.org/10.54216/IJNS.260309
    Das, Suman. Das, Rakhal. Poojary, Prasanna. Pramanik, Surapati. Bhatta, Vadiraja. MADM-Strategy using Grey Relational Analysis under Rough Single-Valued Pentapartitioned Neutrosophic Set Environment. International Journal of Neutrosophic Science , no. (2025): 132-142. DOI: https://doi.org/10.54216/IJNS.260309
    Das, S. , Das, R. , Poojary, P. , Pramanik, S. , Bhatta, V. (2025) . MADM-Strategy using Grey Relational Analysis under Rough Single-Valued Pentapartitioned Neutrosophic Set Environment. International Journal of Neutrosophic Science , () , 132-142 . DOI: https://doi.org/10.54216/IJNS.260309
    Das S. , Das R. , Poojary P. , Pramanik S. , Bhatta V. [2025]. MADM-Strategy using Grey Relational Analysis under Rough Single-Valued Pentapartitioned Neutrosophic Set Environment. International Journal of Neutrosophic Science. (): 132-142. DOI: https://doi.org/10.54216/IJNS.260309
    Das, S. Das, R. Poojary, P. Pramanik, S. Bhatta, V. "MADM-Strategy using Grey Relational Analysis under Rough Single-Valued Pentapartitioned Neutrosophic Set Environment," International Journal of Neutrosophic Science, vol. , no. , pp. 132-142, 2025. DOI: https://doi.org/10.54216/IJNS.260309

    Article Statistics

    View
    183
    Download
    94

    Download