The exponential possibility regression is applied to estimate interval efficiency values. The interval efficiency value is obtained by interval DEA. It shows the possible efficiency and its upper and lower limits are obtained from the optimistic and pessimistic viewpoints for an object to be analyzed. The interval efficiency value for the object is calculated relatively by using all given inputs and outputs without assuming an identical single model for all DMUs. We analyze the interval efficiency values by regression analysis so that the identical model can be obtained. The obtained linear model in regression analysis can represent the relation between the given inputs and outputs and the obtained interval efficiency values in interval DEA. When new objects are added, we can estimate their interval efficiency values using the models obtained by regression analysis.
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