Efficiency and Effectiveness with interval indices in stochastic environments

Non-parametric DEA is a technique on the basic of mathematical programming to determine the efficiency of homological decision making units. DEA models changes in demand cause changes in variations in output levels and also will cause changes in a firm’s inefficiency. Often a firm can adjust input influencing on the output level. Models designed with technique on DEA that considers changes in demand and with a short-run capacity planning method quantifies the effectiveness of a firm’s production system under demand uncertainty. The DEA is assumed that accurate data input, output and demand. In some cases data observed with a difference or mistake, so the uncertainties involved in achieving predetermined goals. To measure the effectiveness of the techniques DEA data is important in the evaluation of uncertainty. Data input, output and demand can be interval and probable and order, ect. This paper focuse uncertain data that it is interval and models will be propone for calculation effectiveness and the effect of uncertain demand with interval data.