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A subgroup dominance-based benefit of the doubt method for addressing rank reversals: A case study of the human development index in Europe
European Journal of Operational Research ( IF 6.4 ) Pub Date : 2022-11-19 , DOI: 10.1016/j.ejor.2022.11.030
Weihua Su , Sibo Chen , Chonghui Zhang , Kevin W. Li

The benefit of the doubt (BoD) is a non-parametric weighting method that aims to maximize the relative composite indicator value of each decision-making unit (DMU). A well-known issue of BoD-based ranking of DMUs is the rank reversal problem when DMUs are deleted or added. The fundamental reason for rank reversals is that deleting (or adding) a DMU influences the generated weight by changing the frontier surface. To address the rank reversal problem, this paper proposes a subgroup dominance-based BoD model (SD-BoD). Based on the individual weights obtained from a classic BoD model, a dominance-based pairwise comparison mechanism is put forward to ensure comparability of different DMUs. Moreover, motivated by the data envelopment analysis idea, we construct a sequential frontier surface partition technique and establish a DMU ranking framework based on subgroup dominance, which helps reduce weight variation due to DMU addition or deletion. Finally, the effectiveness of the SD-BoD method is illustrated by comparing and analyzing the Human Development Indices of the 28 European regions.



中文翻译:

基于亚组优势的怀疑方法解决排名反转的好处:欧洲人类发展指数的案例研究

怀疑收益(BoD)是一种非参数加权方法,旨在最大化每个决策单元(DMU)的相对综合指标值。基于 BoD 的 DMU 排名的一个众所周知的问题是删除或添加 DMU 时的排名反转问题。秩反转的根本原因是删除(或添加)DMU 通过改变前沿面来影响生成的权重。为了解决排名反转问题,本文提出了一种基于子群优势的 BoD 模型(SD-BoD)。基于经典BoD模型获得的个体权重,提出了基于优势的成对比较机制,以确保不同DMUs的可比性。此外,受数据包络分析思想的启发,我们构建了顺序边界曲面划分技术,并建立了基于子组优势的 DMU 排序框架,这有助于减少由于 DMU 添加或删除而导致的权重变化。最后,通过比较和分析欧洲28个地区的人类发展指数,说明SD-BoD方法的有效性。

更新日期:2022-11-19
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