Abstract: When the input and output data of the modified DEA-SE-DEA^[1] are interval numbers,the SE-DEA model was extended to interval SE-DEA.An order relation between interval numbers which can express the decision-maker’s satisfaction degree was defined.Based on this definition the inequality constraints of interval SE-DEA can be transformed into exact constraints at a certain satisfaction degree.Another meaning of the satisfaction degree was also studied,viz.the preference to the DMUs except the DMU being evaluated.Based on those anlysis the equality constraints and objective function of interval SE-DEA can be transformed into exact ones.As a result,the interval SE-DEA was transformed into an exact SE-DEA at a certain satisfaction degree of the decision-maker and we could gain its solution.And the method was applied in efficiency forecasting on four research institues of Tianjin.

Key words: interval number, super efficiency, data envelopment analysis, satisfaction degree, order relation