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Data envelopment analysis (DEA) has proven to be very useful in evaluating relative efficiencies of decision-making units (DMUs) with multiple outputs and multiple inputs. The conventional form of data envelopment analysis evaluates performances of decision-making units only from the optimistic point of view. In other words, it chooses a set of the most favorable weights for each decision-making unit. There is another approach that measures the efficiency of a decision-making unit from the pessimistic point of view. This approach chooses a set of the most unfavorable weights for evaluation of each decision-making unit. In this paper, we propose to integrate both efficiencies in the form of an interval in order to measure the overall performance of a decision-making unit. The proposed Data Envelopment Analysis Models for evaluation of efficiencies are called bounded data envelopment analysis models. The proposed approach will be compared using a numerical example. Another example about assessment of burden-sharing among members of the North Atlantic Treaty Organization (NATO) will be presented to illustrate the advantages, simplicity, and utility of this approach in real-life situations.  

Keywords: Data Envelopment Analysis, Interval efficiency, optimistic and pessimistic efficiencies, Bounded models

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