The sort analysis and application of interval number DEA efficiency set model

Yang Gang, Li Guang-jin
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Abstract

The system relative Effectiveness evaluation under uncertainty factors is the frontier of DEA Theory, research on DEA model with fuzzy elements can help resolve problems of the uncertainty input-output in systematic evaluation. From the perspective of efficiency set, the paper studied the DEA evaluation when the inputs and outputs were interval numbers, and proposed an interval number DEA efficiency set model and its sort method. With the help of the research, we can sort DMUs when they were IDEA efficiency, IDEA fuzzy efficiency and IDEA non-efficiency. Besides, the paper analyzed the application of interval number DEA efficiency set model in business performance evaluation, and pointed out the attentions of evaluating, which can help managers to apply the IDEA model in business performance management better.
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区间数DEA效率集模型的分类分析及应用
不确定因素下的系统相对有效性评价是DEA理论的前沿,研究带有模糊元素的DEA模型有助于解决系统评价中的不确定性投入产出问题。本文从效率集的角度,研究了投入产出均为区间数时的DEA评价问题,提出了区间数DEA效率集模型及其排序方法。在此基础上,我们可以对决策单元进行IDEA效率、IDEA模糊效率和IDEA非效率的分类。此外,本文分析了区间数DEA效率集模型在企业绩效评价中的应用,指出了评价的注意事项,有助于管理者更好地将IDEA模型应用于企业绩效管理。
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