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Using DEA and AHP for Ratio Analysis

机译:使用DEA和AHP进行比率分析

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This research proposes an integrated approach to the Data Envelopment Analysis (DEA) and Analytic Hierarchy Process (AHP) methodologies for ratio analysis. According to this, we compute two sets of weights of ratios in the DEA framework. All ratios are treated as outputs without explicit inputs. The first set of weights represents the most attainable efficiency level for each Decision Making Unit (DMU) in comparison to the other DMUs. The second set of weights represents the relative priority of output-ratios using AHP. We assess the performance of each DMU in terms of the relative closeness to the priority weights of output-ratios. For this purpose, we develop a parametric goal programming model to measure the deviations between the two sets of weights. Increasing the value of a parameter in a defined range of efficiency loss, we explore how much the deviations can be improved to achieve the desired goals of the decision maker.This may result in various ranking positions for each DMU in comparison to the other DMUs. An illustrated example of eight listed companies in the steel industry of China is used to highlight the usefulness of the proposed approach.
机译:这项研究提出了一种用于比率分析的数据包络分析(DEA)和层次分析法(AHP)方法的集成方法。据此,我们在DEA框架中计算了两组加权比。所有比率均视为没有明确输入的输出。与其他DMU相比,第一组权重代表每个决策单元(DMU)可获得的最高效率水平。第二组权重表示使用AHP的输出比率的相对优先级。我们根据与产出比率优先权重的相对接近性来评估每个DMU的性能。为此,我们开发了一个参数目标规划模型来测量两组权重之间的偏差。在定义的效率损失范围内增加参数的值,我们探索可以改善多少偏差以实现决策者的预期目标,这可能导致每个DMU与其他DMU相比排名不同。以中国钢铁行业八家上市公司为例,说明了该方法的有效性。

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