Utilising linear programming techniques in order to estimate the criteria weights based on preferences of decision makers expressed in the form which is used in Simos method usually results in infinite number of optimal solutions bordered into a n-dimensional hyper-polyhedron. For these cases of low robustness the barycenter is calculated and further used, but cannot always be considered satisfactory as far as the representation of the DM’s preferences is concerned. This paper is focused on the presentation of the weights assessment through prioritization method (WAP), constituting a specific integrated implementation of the Robust Simos Method. WAP method on the one hand enriches the preferential information used in a friendly and comprehensive by the DM way while on the other it leads to the estimation of weighting vectors with higher robustness. For the efficient application of the proposed approach, a software module supporting this method was developed and embedded into the RAVI system. The WAP method is presented through an illustration example and the results are discussed in terms of robustness, transparency and comprehensibility.