Negative grey relational model and measurement of the reverse incentive effect of fields medal
Grey Systems: Theory and Application
ISSN: 2043-9377
Article publication date: 30 December 2021
Issue publication date: 25 January 2023
Abstract
Purpose
The purpose of this paper is to construct some negative grey relational analysis models to measure the relationship between reverse sequences.
Design/methodology/approach
The definition of reverse sequence has been given at first based on analysis of relative position and change trend of sequences. Then, several different negative grey relational analysis models, such as the negative grey similarity relational analysis model, the negative grey absolute relational analysis model, the negative grey relative relational analysis model, the negative grey comprehensive relational analysis model and the negative Deng’s grey relational analysis model have been put forward based on the corresponding common grey relational analysis models. The properties of the new models have been studied.
Findings
The negative grey relational analysis models proposed in this paper can solve the problem of relationship measurement of reverse sequences effectively. All the new negative grey relational degree satisfying the requirements of normalization and reversibility.
Practical implications
The proposed negative grey relational analysis models can be used to measure the relationship between reverse sequences. As a living example, the reverse incentive effect of winning Fields Medal on the research output of winners is measured based on the research output data of the medalists and the contenders using the proposed negative grey relational analysis model.
Originality/value
The definition of reverse sequence and the negative grey similarity relational analysis model, the negative grey absolute relational analysis model, the negative grey relative relational analysis model, the negative grey comprehensive relational analysis model and the negative Deng’s grey relational analysis model are first proposed in this paper.
Keywords
Acknowledgements
This work was supported by a long term project of national major talent plan of China (YQR20024), projects of the National Natural Science Foundation of China (72071111, 71671091). It is also supported by a joint project of both the NSFC and the RS of the UK (71811530338), a project of Intelligence Introduction base of the Ministry of Science and Technology (G2021181014L). At the same time, the authors would like to acknowledge the partial support of the Fundamental Research Funds for the Central Universities of China(NC2019003).
Citation
Liu, S. (2023), "Negative grey relational model and measurement of the reverse incentive effect of fields medal", Grey Systems: Theory and Application, Vol. 13 No. 1, pp. 1-13. https://doi.org/10.1108/GS-10-2021-0148
Publisher
:Emerald Publishing Limited
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