Non-contradictory aggregations of relations of strict order

We consider a problem of collective choice. The profile of experts' individual preferences is given by relations of strict order. Nonconflicting aggregated relation is based on the weighted majority graph characterizing the degree of superiority of one alternative over another. Aggregated relation is also a strict order and complies to the requirements to group decisions: the monotony, the minimality of distance to the expert preferences, adherence the Pareto relation.