基于区间定位和灰关联的区间DEA效率指数测算与排序

Journal of Systems Engineering and Electronics ›› 2009, Vol. 31 ›› Issue (9): 2146-2150.

基于区间定位和灰关联的区间DEA效率指数测算与排序

王洁方, 刘思峰, 方志耕

南京航空航天大学经济与管理学院, 江苏, 南京, 210016

收稿日期:2008-05-19 修回日期:2008-08-25 出版日期:2009-09-20 发布日期:2010-01-03
作者简介:王洁方(1982- ),女,博士研究生,主要研究方向为系统评价和决策模型、灰色系统理论.E-mail:wangjiefang_@163.com
基金资助:
教育部哲学社会科学研究后期项目(07JHQ0053);江苏省普通高校研究生科研创新计划(CX09B_054R)资助课题

Solving interval DEA model and ranking based on interval-oriented and grey incidence degree

WANG Jie-fang, LIU Si-feng, FANG Zhi-geng

Coll. of Economics and Management, Nanjing Univ. of Aeronautics and Astronautics, Nanjing 210016, China

Received:2008-05-19 Revised:2008-08-25 Online:2009-09-20 Published:2010-01-03

摘要/Abstract

摘要： 针对经典区间数据包络分析(data envelopment analysis,DEA)求解算法过分依赖于评价者的"主观判别",或求得的效率区间长度可能过大,对被评价决策单元有效性的解释力弱的缺陷,提出一种改进的区间DEA模型求解算法——区间定位法,该方法对评价者的"主观判别"依赖程度低,且求解的效率区间长度较小。在区间定位法的基础上,进一步提出了基于灰色关联度的决策单元效率排序方法。

Abstract: The classical algorithm of solving interval DEA models depends much on evaluator’s "subjective discrimination",and has also some shortages,e.g.the efficiency interval length might be too long to evaluate the effectiveness of decision-making unit well if the range of the input and output variables interval is large.Aimming to the advantages and disadvantages of both methods,an improved method,named interval-oriented method,is presented to solve DEA model with interval data.The result of the new method depends less on evaluator’s "subjective discrimination",and its length is shorter.Furthermore,a way to rank decision-making units based on the grey incidence degree is given.

中图分类号:

王洁方, 刘思峰, 方志耕. 基于区间定位和灰关联的区间DEA效率指数测算与排序[J]. Journal of Systems Engineering and Electronics, 2009, 31(9): 2146-2150.

WANG Jie-fang, LIU Si-feng, FANG Zhi-geng. Solving interval DEA model and ranking based on interval-oriented and grey incidence degree[J]. Journal of Systems Engineering and Electronics, 2009, 31(9): 2146-2150.

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