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求解区间DEA的主客观方法及其数据一致性问题

Subjective and Objective Method of Solving Interval DEA and Their Data Consistency

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【作者】 郭均鹏吴育华

【Author】 Guo Junpeng;Wu Yuhua Management School, Tianjin Universit, Tianjin 300072, China

【机构】 天津大学管理学院

【摘要】 根据是否需要决策者的主观判断,将区间DEA的求解方法分为主观方法和客观方法.定义了一种反映决策者满意度的区间数序关系,基于此将区间DEA转化为一个确定型DEA,并求得给定满意度水平下的点效率值,此为主观方法.建立了求解每个DMU的最高效率值和最低效率值的确定型DEA模型,从而求得每个DMU的区间效率值,此为客观方法.分析了这两种方法在求解过程中所涉及到的数据一致性问题,即每一个DMU的区间投入或产出在确定型DEA中的所有出现要保持相同的投影点.论文同时指出了文献[5]在求解过程中由于没有考虑到数据一致性问题而存在的错误.

【Abstract】 According to whether the decision-maker’s subjective judgment is needed,the method of solving interval DEA is classified into subjective and objective one. Anorder relation between interval numbers expressing the decision-marker’s satisfactiondegree is defined first. Based on this, an interval DEA is transformed into an accurateDEA and point efficiency scores are achieved at a given satisfaction degree. This iscalled as the subjective method. Then accurate DEA models of obtaining the high-est and lowest efficiency score of each DMU are proposed. As a result, an intervalefficiency score of each DMU is gotten. This is called as the objective method. Theproblem of data consistency existing in the both methods is analyzed. That is to say,the interval input or interval output of each DMU must have the same projectionpoint throughout the accurate DEA. At the same time, the error of [5] is pointed outfor not considering data consistency.

  • 【会议录名称】 中国运筹学会第七届学术交流会论文集(上卷)
  • 【会议名称】中国运筹学会第七届学术交流会
  • 【会议时间】2004-10
  • 【会议地点】中国山东青岛
  • 【分类号】F224
  • 【主办单位】中国运筹学会
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