 Two steps are needed to find the models of IC that minimize the distances to the belief profile. In the first step, we calculate the distance between each interpretation satisfying IC (that is, each candidate merged base) and each individual belief base. The intuition here is to quantify how far each individual opinion is from each possible collective outcome (recall that the outcomes will be selected among the interpretations satisfying IC). In the second step, we need to aggregate all those individual distances to define the collective distance, that is, the distance of the belief profile to each model of IC. This amounts to quantify how far the group is from each possible outcome. Finally, the (possibly more than one) base that minimizes such distance is selected as an outcome.