A multi-criterion group decision-making method based on regret theory under 2-tuple linguistic environment
ISSN: 0368-492X
Article publication date: 23 December 2021
Issue publication date: 24 March 2023
Abstract
Purpose
The purpose of this paper is to develop a multi-criterion group decision-making (MCGDM) method by combining the regret theory and the Choquet integral under 2-tuple linguistic environment and apply the proposed method to deal with the supplier selection problem.
Design/methodology/approach
When making a decision, the decision-maker is more willing to choose the alternative(s) which is preferred by the experts so as to avoid the regret. At the same time, the correlative relationships among the criterion set can be sufficiently described by the fuzzy measures, later the evaluations of a group of criteria can be aggregated by means of the Choquet integral. Hence, the authors cope with the MCGDM problems by combining the regret theory and the Choquet integral, where the fuzzy measures of criteria are partly known or completely unknown and the evaluations are expressed by 2-tuples. The vertical and the horizontal regret-rejoice functions are defined at first. Then, a model aiming to determine the missing fuzzy measures is constructed. Based on which, an MCGDM method is proposed. The proposed method is applied to tackle a practical decision-making problem to verify its feasibility and the effectiveness.
Findings
The vertical and the horizontal regret-rejoice functions are defined. The relationships of the fuzzy measures are expressed by the sets. A model is built for determining the fuzzy measures. Based on which, an MCGDM method is proposed. The results show that the proposed method can solve the MCGDM problems within the context of 2-tuple, where the decision-maker avoids the regret and the criteria are correlative.
Originality/value
The paper proposes an MCGDM method by combining the regret theory and the Choquet integral, which is suitable for dealing with a variety of decision-making problems.
Keywords
Acknowledgements
This work was supported by the National Natural Science Foundation of China (No. 61773123).
Declaration of interest statement: The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Citation
Jia, X. and Wang, Y. (2023), "A multi-criterion group decision-making method based on regret theory under 2-tuple linguistic environment", Kybernetes, Vol. 52 No. 4, pp. 1400-1424. https://doi.org/10.1108/K-08-2021-0757
Publisher
:Emerald Publishing Limited
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