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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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International Journal of Neutrosophic Science
Full Length Article

Volume 26 • Issue 3 • PP: 132-142 • 2025

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

Suman Das 1*
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,
Rakhal Das 2
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,
Prasanna Poojary 3
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,
Surapati Pramanik 4
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,
Vadiraja Bhatta G. R. 5
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1Department of Education (ITEP), National Institute of Technology Agartala, Jirania, 799046, Tripura, India
2Department of Mathematics, the ICFAI University Tripura, Agartala, 799210, Tripura, India
3Department of Mathematics, Manipal Institute of Technology Bengaluru, Manipal Academy of Higher Education, Manipal, India
4Department of Mathematics, Nandalal Ghosh B.T. College, Narayanpur, 743126, West Bengal, India
5Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, India
* Corresponding Author.
DOI https://doi.org/10.54216/IJNS.260309
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© 2025 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

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

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Das, Suman, Das, Rakhal, Poojary, Prasanna, Pramanik, Surapati, R., Vadiraja Bhatta G.. "MADM-Strategy using Grey Relational Analysis under Rough Single-Valued Pentapartitioned Neutrosophic Set Environment." International Journal of Neutrosophic Science, vol. Volume 26, no. Issue 3, 2025, pp. 132-142. DOI: https://doi.org/10.54216/IJNS.260309
Das, S., Das, R., Poojary, P., Pramanik, S., R., V. (2025). MADM-Strategy using Grey Relational Analysis under Rough Single-Valued Pentapartitioned Neutrosophic Set Environment. International Journal of Neutrosophic Science, Volume 26(Issue 3), 132-142. DOI: https://doi.org/10.54216/IJNS.260309
Das, Suman, Das, Rakhal, Poojary, Prasanna, Pramanik, Surapati, R., Vadiraja Bhatta G.. "MADM-Strategy using Grey Relational Analysis under Rough Single-Valued Pentapartitioned Neutrosophic Set Environment." International Journal of Neutrosophic Science Volume 26, no. Issue 3 (2025): 132-142. DOI: https://doi.org/10.54216/IJNS.260309
Das, S., Das, R., Poojary, P., Pramanik, S., R., V. (2025) 'MADM-Strategy using Grey Relational Analysis under Rough Single-Valued Pentapartitioned Neutrosophic Set Environment', International Journal of Neutrosophic Science, Volume 26(Issue 3), pp. 132-142. DOI: https://doi.org/10.54216/IJNS.260309
Das S, Das R, Poojary P, Pramanik S, R. V. MADM-Strategy using Grey Relational Analysis under Rough Single-Valued Pentapartitioned Neutrosophic Set Environment. International Journal of Neutrosophic Science. 2025;Volume 26(Issue 3):132-142. DOI: https://doi.org/10.54216/IJNS.260309
S. Das, R. Das, P. Poojary, S. Pramanik, V. R., "MADM-Strategy using Grey Relational Analysis under Rough Single-Valued Pentapartitioned Neutrosophic Set Environment," International Journal of Neutrosophic Science, vol. Volume 26, no. Issue 3, pp. 132-142, 2025. DOI: https://doi.org/10.54216/IJNS.260309
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