Comparative study between GRA and MEREC technique on an agricultural-based MCGDM problem in pentagonal neutrosophic environment

B Banik; S Alam; A Chakraborty

doi:10.1007/s13762-023-04768-1

Comparative study between GRA and MEREC technique on an agricultural-based MCGDM problem in pentagonal neutrosophic environment

Int J Environ Sci Technol (Tehran). 2023 Feb 14:1-16. doi: 10.1007/s13762-023-04768-1. Online ahead of print.

Authors

B Banik¹, S Alam¹, A Chakraborty²

Affiliations

¹ Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, 711103 India.
² Department of Engineering Science, Academy of Technology, Adisaptagram, West Bengal 712502 India.

Abstract

In this research article, an improved Multi-criteria group decision-making (MCGDM) strategy has been developed in pentagonal neutrosophic environment incorporating grey relational analysis and method on the removal effects of criteria (MEREC) techniques to address the relative advantages and disadvantages of these aspects in MCGDM. The aim of the study is to improve MCGDM technique which can capture the underlying uncertainties in robust way and can produce consistent results in a more rigorous way. Here, the conception of Hamming distance between two pentagonal neutrosophic number (PNN)s is introduced and the weighted arithmetic and geometric averaging operators in PNN arena are deployed to craft our computational technique more progressive and robust. An agriculture-based numerical problem is illustrated to demonstrate the ranking results of the alternatives by both of the techniques. After evaluating the problem by two aggregation operators, it is found that "plantation crop" is the best alternative under certain circumstances. Lastly, the sensitivity investigation is performed which reveals that with the appliance of arithmetic and geometric aggregation operators the best ranked alternative preserves its position by both of the ranking methods, which definitely exhibit the consistency and robustness of our executed methodology.

Keywords: Grey relational analysis (GRA); Hamming distance; Method based on the removal effects of criteria (MEREC); Multi-criteria group decision-making (MCGDM); Pentagonal neutrosophic number (PNN); Weighted arithmetic and geometric averaging operator.

© The Author(s) under exclusive licence to Iranian Society of Environmentalists (IRSEN) and Science and Research Branch, Islamic Azad University 2023, Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.