Equally important criteria and demanding aggregation

Within the class of weighted averages of ordered measurements on criteria of ‘equal importance’, we discuss aggregators that help assess to what extent ‘most’ criteria are satisfied, or a ‘good performance across the board’ is attained. All aggregators discussed are compromises between the simple mean and the very demanding minimum score. The weights of the aggregators are described in terms of the convex polytopes as induced by the characteristics of the aggregators, such as concavity. We take the barycentres of the polytopes as representative weights.