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

Suman Das¹, Rakhal Das², Prasanna Poojary³, Surapati Pramanik⁴, Vadiraja Bhatta G. R.^5,*

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

Emails: sumandas18842@gmail.com; rakhaldas95@gmail.com; poojary.prasanna@manipal.edu; surapati.math@gmail.com; vadiraja.bhatta@manipal.edu

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