In this work, an interval-based method is presented to consider the uncertainty of decision-making variables without knowledge of the probability density function. This method is called Stochastic Predicted Bands (SPB). In SPB, modeling of uncertainty is done by bands based on the prediction of stochastic variables. Besides, an auxiliary parameter is defined to provide flexibility to the decision-maker to be optimistic or conservative. Hence, applying the optimistic coefficient to the SPB method results in the enhancement of its performance. This new method is called Modified Stochastic Predicted Bands (MSPB).