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浙江大学学报（理学版）
浙江大学学报（理学版）  2018, Vol. 45 Issue (2): 162-168    DOI: 10.3785/j.issn.1008-9497.2018.02.006
管理科学     
基于决策单元交叉排序的中立DEA评价方法
林杨1,2, 王应明2, 陈磊2
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
DEA evaluation method based on cross ranking of decision making unit
LIN Yang1,2, WANG Yingming2, CHEN Lei2
1. School of Economics, Fujian Normal University, Fuzhou 350117, China;
2. Decision Science Institute, Fuzhou University, Fuzhou 350116, China
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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    
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.
Key words: data envelopment analysis    cross efficiency    cross ranking matrix    preference aggregation    linear programming model
收稿日期: 2016-12-29 出版日期: 2018-03-08
CLC:  C934  
基金资助: 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）.
通讯作者: 王应明,ORCID:http://orcid.org/0000-0002-5229-0914,E-mail:msymwang@hotmail.com     E-mail: msymwang@hotmail.com
作者简介: 林杨(1983-),ORCID:http://orcid.org/0000-0003-0578-3027,男,博士生,实验师,主要从事最优化理论和决策分析研究,E-mail:linyang42@163.com.
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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.

LIN Yang, WANG Yingming, CHEN Lei. DEA evaluation method based on cross ranking of decision making unit. Journal of ZheJIang University(Science Edition), 2018, 45(2): 162-168.

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https://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2018.02.006    或    https://www.zjujournals.com/sci/CN/Y2018/V45/I2/162

[1] 梁樑, 吴杰. 数据包络分析(DEA)的交叉效率研究进展与展望[J]. 中国科学技术大学学报, 2013, 43(11):941-947. LIANG L, WU J. A retrospective and perspective view on cross-efficiency of data envelopment analysis (DEA)[J]. Journal of University of Science and Technology of China, 2013, 43(11):941-947.
[2] CHARNES A, COOPER W W, RHODES E. Measuring the efficiency of decision making units[J]. European Journal of Operational Research, 1978, 2(6):429-444.
[3] 魏权龄. 数据包络分析(DEA)[J]. 科学通报, 2000, 45(17):1793-1808. WEI Q L. Data envelopment analysis(DEA)[J]. Chinese Science Bulletin, 2000, 45(17):1793-1808.
[4] 杨国梁, 刘文斌, 郑海军. 数据包络分析方法(DEA)综述[J]. 系统工程学报, 2013, 28(6):840-860. YANG G L, LIU W B, ZHENG H J. Review of data envelopment analysis[J]. Journal of Systems Engineering, 2013, 28(6):840-860.
[5] SARRICO C S. Data envelopment analysis:A comprehensive text with models, applications, references and DEA-solver software[J]. Journal of the Operational Research Society, 2001, 52(12):1408-1409.
[6] BANKER R D, CHARNES A, COOPER W W. Some models for estimating technical and scale inefficiencies in data envelopment analysis[J]. Management Science, 1984, 30(9):1078-1092.
[7] ANDERSEN P, PETERSEN N C. A procedure for ranking efficient units in data envelopment analysis[J]. Management Science, 1993, 39(10):1261-1264.
[8] FARE R, WHITTAKER G. An intermediate input model of dairy production using complex survey data[J].Journal of Agricultural Economics, 1995, 46(2):201-213.
[9] TONE K. A slacks-based measure of efficiency in data envelopment analysis[J]. European Journal of Operational Research, 2001, 130(3):498-509.
[10] COOPER W W, PASTOR D. BAM:A bounded adjusted measure of efficiency for use with bounded additive models[J]. Journal of Productivity Analysis, 2011, 35(2):85-94.
[11] 李春好, 苏航, 佟轶杰. 基于理想决策单元参照求解策略的DEA交叉效率评价模型[J]. 中国管理科学, 2015, 23(2):116-122. LI C H, SU H, TONG Y J. DEA cross-efficiency evaluation model by the solution strategy referring to the ideal DMU[J]. Chinese Journal of Management Science, 2015, 23(2):116-122.
[12] SEXTON T R, SILKMAN R H, HOGAN A J. Data envelopment analysis:Critique and extensions[J]. New Directions for Program Evaluation, 1986(32):73-105.
[13] DOYLE J, GREEN R. Efficiency and cross-efficiency in DEA:Derivations, meanings and uses[J]. Journal of the Operational Research Society, 1994, 45(5):567-578.
[14] 李春好, 苏航. 基于交叉评价策略的DEA全局协调相对效率排序模型[J]. 中国管理科学, 2013, 21(3):137-145. LI C H, SU H. A ranking model according to overall-coordinating relative efficiencies of decision making units based on cross-evaluation strategy[J]. Chinese Journal of Management Science, 2013, 21(3):137-145.
[15] WU J, LIANG L, YANG F. Determination of the weights for the ultimate cross efficiency using Shapley value in cooperative game[J]. Expert Systems with Applications, 2009, 36(1):872-876.
[16] WANG Y M, CHIN K S. The use of OWA operator weights for cross-efficiency aggregation[J]. Omega, 2011, 39(5):493-503.
[17] WANG Y M, CHIN K S. A neutral DEA model for cross-efficiency evaluation and its extension[J]. Expert Systems with Applications, 2010, 37(5):3666-3675.
[18] 王军, 孙利辉, 刘晶. 基于虚拟决策单元的DEA全排序方法[J]. 科研管理, 2009(s1):198-202. WANG J, SUN L H, LIU J. A DEA ranking method based on virtual decision-making unit[J]. Science Research Management, 2009(S1):198-202.
[19] BAO C P, CHEN T H, CHANG S Y. Slack-based ranking method:An interpretation to the cross-efficiency method in DEA[J]. Journal of the Operational Research Society, 2008, 59(6):860-862.
[20] COOK W D, KRESS M. A data envelopment model for aggregating preference rankings[J]. Management Science, 1990, 36(11):1302-1310.
[21] ZERAFAT A M, TAJADDINI A, MUSTAFA A, et al. Ranking alternatives in a preferential voting system using fuzzy concepts and data envelopment analysis[J]. Computers & Industrial Engineering, 2012, 63(4):784-790.
[22] 王小燕. 基于模糊综合评价法的实验教学示范中心示范效应评价[J]. 实验室研究与探索, 2015, 34(4):132-135. WANG X Y. Demonstration effect evaluation of experimental teaching demonstration center based on fuzzy comprehensive evaluation[J]. Research and Exploration in Laboratory, 2015, 34(4):132-135.
[23] 林伟君, 王小燕. 实验教学示范中心示范效应评价指标体系构建[J]. 实验室研究与探索, 2016, 35(5):163-166. LIN W J, WANG X Y. Research on experiment teaching demonstration center evaluation system[J]. Research and Exploration in Laboratory, 2016, 35(5):163-166.
[24] 梁芳, 李国柱, 肖文俊. 高等学校实验资源利用效益评价指标体系构建研究[J]. 西安石油大学学报(社会科学版), 2010, 19(4):79-83. LIANG F, LI G Z, XIAO W J. On the construction of evaluation index system about the use efficiency of laboratory resources in colleges and universities[J]. Journal of Xi'an Shiyou University(Social Science Edition), 2010, 19(4):79-83.
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