 We have seen that majority operators are characterized by trying to minimize the total dissatisfaction, whereas the arbitration operators aim at minimizing the local dissatisfaction. We can thus see the distance as a way to capture the notion of dissatisfaction. Inspired by the economy principle employed in belief revision, the outcome in merging should keep as much as information as possible from each individual belief base \(K_i\). In other words, since the sources of information are assumed to be equally reliable, the merge should delete as little as possible from the sources. The idea then is to select the interpretations that minimize the distance between the models of IC and the models of the belief profile E. Formally, this can be expressed as follows: