Measurement of overall performances of decision-making units in the presence of interval data

In this paper, for performance measurement of decision making units (DMUs) with interval data, it is suggested to integrate the efficiencies obtained from optimistic and pessimistic views in the form of an interval. The upper bound of efficiency interval from the optimistic view is obtained based on the most favourable position of each DMU using a set of the most favourable weights. The lower bound of efficiency interval from the pessimistic view is obtained based on the most unfavourable position of each DMU using a set of the most unfavourable weights. The obtained efficiency interval shows all possible evaluations from different perspectives. Thus, the efficiency interval provides the decision-maker with all possible efficiency values, reflecting different views. Two numerical examples will show the proposed data envelopment analysis approach.