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A Family of Aggregation Operators for Group Decision-Making from the Perspective of Incentive Management

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Abstract

Aggregating various decision information provided by a group of decision makers (DMs) into an integrated one is essential for seeking the optimal solution. This paper aims to propose an effective method for information aggregation in group decision-making (GDM) in an uncertain environment. The approach introduces a family of incentive-induced cluster-based uncertain ordered weighted averaging (II-CUOWA) operators from the perspective of incentive management. Specifically, the II-CUOWA operator is first introduced, involving the definition, the clustering method of judgment information, the calculation method of position weights, and several mathematical properties. Then, the study delves into the exploration of generalized formulas for the II-CUOWA operator, as well as discussing special cases achievable by adjusting internal parameters. Finally, this paper outlines the aggregation process of II-CUOWA operators when addressing GDM problems, accompanied by a practical example illustrating its application and validity in employees’ performance assessment. The results show that II-CUOWA operators not only highlight the distributed structure of decision information but also possess the capability to reward or penalize alternatives, thereby guiding their development by considering the manager’s incentive preference. The proposed method enriches the methodology of GDM theory from a novel research perspective and provides a solution to practical GDM problems.

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Acknowledgements

This study is supported by the National Natural Science Foundation of China (Grant Numbers: 72171040, 72171041) and the Fundamental Research Funds for the Central Universities of China (Grant Number: N2006013). The authors also would like to thank the editors and anonymous reviewers for their valuable comments and suggestions.

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Authors and Affiliations

  1. School of Business Administration, Northeastern University, 195 Chuangxin Road, Hunnan District, Shenyang, 110167, China

    Qiankun Dong, Pingtao Yi, Weiwei Li & Lu Wang

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  1. Qiankun Dong
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  2. Pingtao Yi
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  3. Weiwei Li
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  4. Lu Wang
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Correspondence to Pingtao Yi.

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Dong, Q., Yi, P., Li, W. et al. A Family of Aggregation Operators for Group Decision-Making from the Perspective of Incentive Management. Int. J. Fuzzy Syst. 26, 498–512 (2024). https://doi.org/10.1007/s40815-023-01610-1

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