In this paper we characterize axiomatically a ranking method that compares positions in hierarchies in terms of the influence that they provide on the evolvement of knowledge. The comparison takes into account the number of direct and indirect subordinates of the positions and is based on the...

This paper contributes to the axiomatization of additive rules for ranking sets of objects under the psychological principle of categorization. Firstly we proceed with the case where the elements in the sets are categorized into at most three groups, namely good (with value 1), neutral (with...