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基于决策单元交叉排序的中立DEA评价方法
引用本文:林杨,王应明,陈磊.基于决策单元交叉排序的中立DEA评价方法[J].浙江大学学报(理学版),2018,45(2):162-168.
作者姓名:林杨  王应明  陈磊
作者单位:1. 福建师范大学 经济学院, 福建 福州 350117;
2. 福州大学 决策科学研究所, 福建 福州 350116
基金项目:福建师范大学教学改革研究项目资助(I201603023);福建省中青年教师教育科研项目(JAS160132).
摘    要:针对数据包络分析的决策单元(DMU)排序问题,建立了一种基于DMU交叉排序矩阵的评价分析模型.基于中立交叉效率,通过各决策单元效率的相对序值转换得到交叉排序矩阵,计算了DMU在各次序下集结"自评"和"他评"的效率和,建立一种线性规划模型,通过求解得到了最终排序结果.将其应用于福州大学城若干高校实验示范中心的效率评价,并与其他模型进行了比较,结果表明本方法在区分决策单元优劣上表现最佳,方法有效.

关 键 词:数据包络分析  交叉效率  交叉排序矩阵  偏好集结  线性规划模型  
收稿时间:2016-12-29

DEA evaluation method based on cross ranking of decision making unit
LIN Yang,WANG Yingming,CHEN Lei.DEA evaluation method based on cross ranking of decision making unit[J].Journal of Zhejiang University(Sciences Edition),2018,45(2):162-168.
Authors:LIN Yang  WANG Yingming  CHEN Lei
Institution:1. School of Economics, Fujian Normal University, Fuzhou 350117, China;
2. Decision Science Institute, Fuzhou University, Fuzhou 350116, China
Abstract:In terms of the problem of ranking decision making unit (DMU) in data envelopment analysis, an evaluation approach based on cross ranking matrix of DMUs is established. On the basis of neutral cross efficiency, this matrix can be obtained from relative ordinal in the corresponding cross efficiency. Then, the sum of efficiencies for each DMU on different sequences can be gained by aggregating the self-and peer-evaluation values. Next, a linear programming model is established, and the DMUs are ranked according to the results of this model. The proposed method is applied to the efficiency evaluation of several experimental demonstration centers in Fuzhou University town. The result shows that our model works better than CCR and NCE in distinguishing the performances of DMUs.
Keywords:data envelopment analysis  cross efficiency  cross ranking matrix  preference aggregation  linear programming model
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