Measurement of profit inefficiency in presence of interval data using the directional distance function

In many applied programs in real-life problems, both physical inputs and outputs are heterogeneous which in this case the efficient cost and income model can not apply to evaluate the cost and income of related turnover. So, a measurement based on the directional value of profit was presented which we have developed it in this paper and have computed it for interval data. In fact, we have measured the inefficiency of cost in presence of interval data using the directional distance function which is mostly meaningful for those companies that their essential behavioral goals are maximizing the profit with least ambiguity. To this end, considering some branches of Tejarat bank in Iran, the efficiency of profit in presence of interval data is computed by means of the distance directional function.