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

In many applied programs in real-life problems, both physical inputs and out-puts are heterogeneous which in this case the efficient cost and income modelcan not apply to evaluate the cost and income of related turnover. So, a mea-surement based on the directional value of prot was presented which we havedeveloped it in this paper and have computed it for interval data. In fact, wehave measured the inefficiency of cost in the presence of interval data using thedirectional distance function which is most meaningful for those companiesthat their essential behavioral goals are maximizing the prot with least am-ambiguity. To this end, considering some branches of Tejarat bank in Iran, theefficiency of profit in presence of interval data is computed by means of thedistance directional function.