SVPNS-MADM strategy based on GRA in SVPNS Environment

Authors

  • Suman Das Department of Mathematics, Tripura University, Agartala, 799022, Tripura, India.
  • Bimal Shil Department of Statistics, Tripura University, Agartala, 799022, Tripura, India.
  • Surapati Pramanik Department of Mathematics, Nandalal Ghosh B.T. College, Narayanpur, 743126, West Bengal, India.

Keywords:

Neutrosophic set, Single valued neutrosophic set, Pentapartitioned neutrosophic set, Multi attribute decision making, Grey relational analysis

Abstract

 In the present study, we present a multi-attribute-decision-making (MADM) strategy in 
Single Valued Pentapartitioned Neutrosophic Set (SVPNS) environment based on Grey Relational 
Analysis (GRA) which we call SVPNS- MADM strategy. We define Hamming distance between two 
single valued pentapartitioned neutrosophic sets and prove its basic properties. The notion of 
pentapartitioned neutrosophic set is a powerful mathematical tool to deal with incomplete, 
indeterminate, ignorance, and inconsistent information. In this paper, we extend the neutrosophic 
GRA strategy to pentapartitioned neutrosophic GRA strategy. Then we employ it to an MADM 
strategy. Further, we demonstrate the developed MADM strategy by solving an illustrative 
numerical example that reflects the efficiency and applicability of the proposed strategy. 

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Published

2021-12-01

Issue

Vol. 47 (2021): Neutrosophic Sets and Systems

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

Copyright (c) 2021 Neutrosophic Sets and Systems

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Suman Das, Bimal Shil, & Surapati Pramanik. (2021). SVPNS-MADM strategy based on GRA in SVPNS Environment . Neutrosophic Sets and Systems, 47, 50-65. https://fs.unm.edu/nss8/index.php/111/article/view/4122