主管:中国科学院
主办:中国优选法统筹法与经济数学研究会
   中国科学院科技战略咨询研究院

中国管理科学 ›› 2016, Vol. 24 ›› Issue (2): 153-161.doi: 10.16381/j.cnki.issn1003-207x.2016.02.019

• 论文 • 上一篇    下一篇

三元效率区间下决策单元的全局绩效评价

范建平1,2, 陈静1, 吴美琴1, 田璇1   

  1. 1. 山西大学经济与管理学院, 山西 太原 030006;
    2. 山西大学科学评价研究中心, 山西 太原 030006
  • 收稿日期:2013-12-01 修回日期:2014-12-25 出版日期:2016-02-20 发布日期:2016-02-25
  • 通讯作者: 范建平 E-mail:fjp@sxu.edu.cn
  • 作者简介:范建平(1975-),男(汉族),山西武乡人,山西大学经济与管理学院,博士,副院长,研究方向:预测、评价与决策,E-mail:fjp@sxu.edu.cn.

Overall Performance Evaluation for DMUs with Ternary Efficiency Interval

FAN Jian-ping1,2, CHEN Jing1, WU Mei-qin1, TIAN Xuan1   

  1. 1. School of Economics and Management, Shanxi University, Taiyuan 030006, China;
    2. Research Center for Science Evaluation, Shanxi University, Taiyuan 030006, China
  • Received:2013-12-01 Revised:2014-12-25 Online:2016-02-20 Published:2016-02-25

摘要: 针对现实生活中投入产出数据的不确定性,许多学者提出从乐观和悲观角度计算决策单元的效率区间,但每个效率区间的上、下界值都是决策单元表现的两种极端情况。本文通过引入心态指标衡量决策者的偏好,获得了一个最有可能的效率值,它与上界值、下界值共同组成了三元效率区间。然后改进了两级排序方法:提出了三元有向距离指数,为所有决策单元获得全序化结果。本文引用前人文中的数例验证了该方法是一种更为精确、可全序化的评价、决策方法,可广泛应用于效率测评中。

关键词: 数据包络分析, 三元效率区间, 乐观效率, 悲观效率, 三元有向距离指数

Abstract: To deal with the uncertainty of the data for input and/or output in the real world, many experts presented efficiency interval to evaluate the performance for each DMU from optimistic and pessimistic views. Undeniably, the lower and upper bound of the efficiency interval are two extremes of each DMU performance. In this paper, the preference of the decision makers are considered by introducing the attitude index to get the most probable efficiency value, which with the lower and upper bound constitutes the ternary efficiency interval. Then ternary directional distance index is proposed, improving the two-grade ranking method, to get a full ranking for all DMUs. The illustrative example shows this method is more precise and widely used in efficiency evaluation and decision-making field.the effectiveness and practicability of the proposed method.

Key words: data envelopment analysis, ternary efficiency interval, optimistic efficiency, pessimistic efficiency, ternary directional distance index

中图分类号: