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Multi-criteria group decision-making algorithm based on single-valued neutrosophic Einstein prioritized aggregation operators and its applications

Hafiz Muhammad Athar Farid (Department of Mathematics, University of the Punjab, Lahore, Pakistan)
Harish Garg (School of Mathematics, Thapar Institute of Engineering and Technology, Deemed University, Patiala, India)
Muhammad Riaz (Department of Mathematics, University of the Punjab, Lahore, Pakistan)
Gustavo Santos-García (Department of Economics and Economic History, University of Salamanca, Salamanca, Spain)

Management Decision

ISSN: 0025-1747

Article publication date: 21 June 2022

Issue publication date: 16 March 2023

265

Abstract

Purpose

Single-valued neutrosophic sets (SVNSs) are efficient models to address the complexity issues potentially with three components, namely indeterminacy, truthness and falsity. Taking advantage of SVNSs, this paper introduces some new aggregation operators (AOs) for information fusion of single-valued neutrosophic numbers (SVNNs) to meet multi-criteria group decision-making (MCGDM) challenges.

Design/methodology/approach

Einstein operators are well-known AOs for smooth approximation, and prioritized operators are suitable to take advantage of prioritized relationships among multiple criteria. Motivated by the features of these operators, new hybrid aggregation operators are proposed named as “single-valued neutrosophic Einstein prioritized weighted average (SVNEPWA) operator” and “single-valued neutrosophic Einstein prioritized weighted geometric (SVNEPWG) operators.” These hybrid aggregation operators are more efficient and reliable for information aggregation.

Findings

A robust approach for MCGDM problems is developed to take advantage of newly developed hybrid operators. The effectiveness of the proposed MCGDM method is demonstrated by numerical examples. Moreover, a comparative analysis and authenticity analysis of the suggested MCGDM approach with existing approaches are offered to examine the practicality, validity and superiority of the proposed operators.

Originality/value

The study reveals that by choosing a suitable AO as per the choice of the expert, it will provide a wide range of compromise solutions for the decision-maker.

Keywords

Acknowledgements

The author (Harish Garg) is grateful to DST-FIST grant no. SR/FST/MS-1/2017/13 for providing technical support.

Funding: The work of Santos-García was partially supported by the Spanish project TRACES TIN2015-67522-C3-3-R.

Citation

Farid, H.M.A., Garg, H., Riaz, M. and Santos-García, G. (2023), "Multi-criteria group decision-making algorithm based on single-valued neutrosophic Einstein prioritized aggregation operators and its applications", Management Decision, Vol. 61 No. 2, pp. 382-420. https://doi.org/10.1108/MD-04-2022-0484

Publisher

:

Emerald Publishing Limited

Copyright © 2022, Emerald Publishing Limited

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