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Context-Dependent Data Envelopment Analysis with Interval Data

机译:带有间隔数据的上下文相关数据包络分析

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Data envelopment analysis (DEA) is a non-parametric method for evaluating the relative efficiency of decision making units (DMUs) on the basis of multiple inputs and outputs. The context-dependent DEA is introduced to measure the relative attractiveness of a particular DMU when compared to others. In real-world situation, because of incomplete or non-obtainable information, the data (Input and Output) are often not so deterministic, therefore they usually are imprecise data such as interval data, hence the DEA models becomes a nonlinear programming problem and is called imprecise DEA (IDEA). In this paper the context-dependent DEA models for DMUs with interval data is extended. First, we consider each DMU (which has interval data) as two DMUs (which have exact data) and then, by solving some DEA models, we can find intervals for attractiveness degree of those DMUs. Finally, some numerical experiment is used to illustrate the proposed approach at the end of paper.
机译:数据包络分析(DEA)是一种非参数方法,用于基于多个输入和输出来评估决策单元(DMU)的相对效率。引入了上下文相关的DEA,以测量特定DMU与其他DMU的相对吸引力。在现实世界中,由于信息不完整或无法获得,数据(输入和输出)的不确定性通常很高,因此它们通常是不精确的数据(例如区间数据),因此DEA模型成为非线性编程问题,并且称为不精确DEA(IDEA)。本文扩展了具有间隔数据的DMU的上下文相关DEA模型。首先,我们将每个具有间隔数据的DMU视为两个具有精确数据的DMU,然后,通过求解一些DEA模型,我们可以找到这些DMU的吸引力程度的间隔。最后,通过数值实验对本文提出的方法进行了说明。

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