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

In many applied programs in real-life problems, both physical inputs and outputsare heterogeneous which in this case the ecient cost and income modelcan not apply to evaluate the cost and income of related turnover. So, a measurementbased on the directional value of prot was presented which we havedeveloped it in this paper and have computed it for interval data. In fact, wehave measured the ineciency of cost in presence of interval data using thedirectional distance function which is mostly meaningful for those companiesthat their essential behavioral goals are maximizing the prot with least ambiguity.To this end, considering some branches of Tejarat bank in Iran, theeciency of prot in presence of interval data is computed by means of thedistance directional function.