基于公平视角的交叉效率集结方法

N945.16; 针对数据包络分析(DEA)交叉效率的集结问题,基于公平视角提出了一种考虑公平感知的后悔交叉效率集结方法.用后悔理论描述决策者的后悔厌恶心理,构建后悔-欣喜矩阵;采用区间型交叉效率模型计算后悔公平感知效用;用构建的交叉效率集结权重分配模型,计算考虑公平感知的后悔区间交叉效率;通过引入反映决策者心理偏好的参数,综合后悔区间交叉效率的下限和上限形成综合感知效率.最后,通过算例验证了方法的有效性和合理性....

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Published in浙江大学学报（理学版） Vol. 51; no. 5; pp. 599 - 610
Main Authors 张兴贤, 左文进, 王应明, 王盼盼, 王仁杰
Format Journal Article
LanguageChinese
Published 江苏大学管理学院,江苏镇江 212013 01.09.2024
铜陵学院建筑工程学院,安徽铜陵 244061%上海财经大学浙江学院,浙江金华 321000%福州大学决策科学研究所,福建福州 350116%铜陵学院建筑工程学院,安徽铜陵 244061
Subjects
数据包络分析
后悔理论
公平视角
cross-efficiency evaluation
交叉效率评估
data envelopment analysis(DEA)
regret theory
fairness perspective
Online AccessGet full text
ISSN1008-9497
DOI10.3785/j.issn.1008-9497.2024.05.011

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Abstract N945.16; 针对数据包络分析(DEA)交叉效率的集结问题,基于公平视角提出了一种考虑公平感知的后悔交叉效率集结方法.用后悔理论描述决策者的后悔厌恶心理,构建后悔-欣喜矩阵;采用区间型交叉效率模型计算后悔公平感知效用;用构建的交叉效率集结权重分配模型,计算考虑公平感知的后悔区间交叉效率;通过引入反映决策者心理偏好的参数,综合后悔区间交叉效率的下限和上限形成综合感知效率.最后,通过算例验证了方法的有效性和合理性.
AbstractList N945.16; 针对数据包络分析(DEA)交叉效率的集结问题,基于公平视角提出了一种考虑公平感知的后悔交叉效率集结方法.用后悔理论描述决策者的后悔厌恶心理,构建后悔-欣喜矩阵;采用区间型交叉效率模型计算后悔公平感知效用;用构建的交叉效率集结权重分配模型,计算考虑公平感知的后悔区间交叉效率;通过引入反映决策者心理偏好的参数,综合后悔区间交叉效率的下限和上限形成综合感知效率.最后,通过算例验证了方法的有效性和合理性.
Abstract_FL Aiming at the aggregation problem of cross-efficiency in data envelopment analysis(DEA),this paper proposes a new regret cross-efficiency aggregation method based on fairness perception.Firstly,the regret theory is introduced to describe decision-makers'regret aversion,and the regret-rejoice matrix is constructed.Secondly,the intersectional cross-efficiency model is used to calculate the perceived utility of regret fairness.Then,a cross-efficiency aggregated weight distribution model is constructed and the cross-efficiency of regret interval considering fairness perception is calculated.The lower and upper limits of cross-efficiency of regret interval are synthesized by introducing a parameter reflecting the psychological preference of decision-makers.Finally,an example is given to verify the validity and rationality of the proposed method.
Author 王应明
王仁杰
王盼盼
左文进
张兴贤
AuthorAffiliation 江苏大学管理学院,江苏镇江 212013;铜陵学院建筑工程学院,安徽铜陵 244061%上海财经大学浙江学院,浙江金华 321000%福州大学决策科学研究所,福建福州 350116%铜陵学院建筑工程学院,安徽铜陵 244061
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WANG Renjie
ZUO Wenjin
WANG Yingming
WANG Panpan
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Keywords 数据包络分析
后悔理论
公平视角
cross-efficiency evaluation
交叉效率评估
data envelopment analysis(DEA)
regret theory
fairness perspective
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PublicationTitle 浙江大学学报（理学版）
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Publisher 江苏大学管理学院,江苏镇江 212013
铜陵学院建筑工程学院,安徽铜陵 244061%上海财经大学浙江学院,浙江金华 321000%福州大学决策科学研究所,福建福州 350116%铜陵学院建筑工程学院,安徽铜陵 244061
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