A diff-Based Merging Operator

Merging operators aim at defining the beliefs (resp. the goal) of a group of agents from a profile of bases, gathering the be-liefs (resp. the goals) of each member of the group. In the propositional setting, a well-studied family of merging oper-ators are distance-based ones: the models of the merged base are the closest interpretations to the given profile. Closeness is, in this context, measured as a number resulting from the aggregation of the distances to each base of the profile. In this work we define a new kind of propositional merging op-erators, close to such distance-based merging operators, but relying on a set-theoretic definition of closeness, already at work in several revision/update operators from the literature. We study a specific merging operator of this family, obtained by considering set-product as the aggregation function