On aggregation of max-product transitive valued binary relations

An aggregation procedure assigns a group preference to each finite family of individual preferences. It is usually required that the group preference satisfy some general conditions. One of the most commonly accepted conditions is the Pareto property. A special class of individual preferences represented by valued binary relations on the relevant finite set of alternatives is considered. Two extreme cases of valued binary relations satisfying the Pareto property in the class of all max-product transitive valued binary relations are completely characterized by their properties