Aggregation of strict order fuzzy relations

The problem of finding a collective solution is considered when specifying the profile of expert preferences by fuzzy relations of strict order. Non-contradictory aggregated relation is built on the basis of a digraph of a fuzzy relation, the matrix of which consists of the arithmetic mean values of the elements of the matrices of fuzzy preferences of experts. The aggregated relation is also a fuzzy strict order and satisfies the requirements for collective decisions: minimal distance to expert preferences and non-contradictory. Algorithms that implement operations with fuzzy relations are proposed.