On the Aggregation of n-distances

Abstract

This work deals with the aggregation of n-distances and S-generalized n-distances. The necessary conditions that a function has to satisfy to aggregate a collection of n-distances (respectively, S-generalized n-distances) into a new n-distance (respectively, S-generalized n-distance) are given. The last distances are introduced and discussed, in this work, as a generalization of the first ones. We also provide some relationship between both classes of distances. Moreover, we present several equivalent relations between an S-generalized n-distance and a new type of n-T-indisguishability operator.