Conjoint axiomatization of Min, DiscriMin and LexiMin

In many multi-criteria decision-making applications, the preferential information is of an ordinal nature and appropriate aggregation procedures should be used. In this paper, we build a common axiomatic framework to characterize the “Minimum” procedure as well as two of its refinements, the “DiscriMin” and the “LexiMin”. In practical situations, this axiomatic framework could help to select the best-suited procedure.