The paper presents the prioritized induced probabilistic OWA (PIPOWA) operator. It is a new aggregation operator that unifies the characteristics of the group decision making, the probabilities, the order-induced reordering process and the OWA operator. It includes a wide range of particular cases such as the probabilistic aggregation, the maximum probabilistic aggregation, the minimum probabilistic aggregation, the arithmetic probabilistic aggregation, the step PIPOWA, the general olympic PIPOWA and the centered PIPOWA. The paper also presents an application of the new approach in the selection of dispute resolution problems.