In this paper a ranking method using common weights methodology is presented. The goal of the method is enhancing the decision maker (DM)’s influence in the ranking procedure. Although DM’s preference information is an important element in our method, the approach can also be modified to be used in the absence of it. Since we aim to implement the approach on an empirical instance, the model is modified to deal with the properties of the sample, so it is developed in the presence of the interval data and flexible measures. Finally, the results are discussed.