Journal of Systems Engineering and Electronics ›› 2011, Vol. 33 ›› Issue (2): 339-345.doi: 10.3969/j.issn.1001-506X.2011.02.22

• 系统工程 • 上一篇    下一篇

具有多属性决策单元的有效性分析方法

马占新1, 候翔2   

  1. 1. 内蒙古大学经济管理学院, 内蒙古 呼和浩特 010021; 2. 内蒙古大学数学科学学院, 内蒙古 呼和浩特 010021
  • 出版日期:2011-02-28 发布日期:2010-01-03

Efficiency analysis method for some multiple attributive decision making units

MA Zhan-xin1, HOU Xiang2   

  1. 1. School of Economics and Management, Inner Mongolia University, Hohhot 010021, China; 2. School of Mathematics Science, Inner Mongolia University, Hohhot 010021, China
  • Online:2011-02-28 Published:2010-01-03

摘要:

DEA方法是评价同类决策单元有效性的一种重要方法,但许多情况下被评价单元可能具有多类决策单元的属性,传统DEA方法在评价该类问题时遇到了困难。针对多属性决策单元的有效性评价问题,采用多类样本单元合成不同属性生产可能集合的方法,首先给出了评价具有两种属性决策单元有效性的DEA模型(Twi)和相应的Twi-DEA有效性概念。分析了多属性决策单元的投影性质,以及(Twi)模型和传统DEA模型的关系。在此基础上,给出了具有多重属性决策单元有效性评价的一般模型(Mul),并讨论了相关性质。

Abstract:

Data envelopment analysis (DEA) is an important method to evaluate the efficiency of the same kind of decision making units (DMUs). However, the DMUs may have multiple attributes in many cases, then it is hard to apply the traditional DEA method on such issue. In order to study the problem on the efficiency evaluation of multiattribute DMUs, a production possibility set is first structured, which has the same attribute as a multiattribute DMU by using some sample DMUs. Then a model(Twi) for evaluating the double attribute DMUs and the corresponding conception of TwiDEA efficiency are given.In addition, the projection properties of a multiattribute DMU and the relationship between (Twi) model and the traditional DEA models are analyzed. Finally, a general model (Mult) for the efficiency evaluation of multiattribute DMUs and its related properties are discussed.

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