Duplication in OWA-generated positional aggregation rules

Abstract

In this paper we deal with positional aggregation rules where the alternatives are socially ordered according to their aggregated positions. These positional values are generated by means of a predetermined aggregation function from the positions in the corresponding individual orderings. Specifically, our interest is focused on OWA-generated positional aggregation rules and, as a first step in our research, we characterize those ones satisfying duplication and propose an overall social order induced by them.