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

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.