A fusion system fuses M rankings generated by M judges by (i) computing values of an aggregation function for items of the M rankings, the aggregation function including a sum of pairwise conjunctions of ranking values of different judges for an input item, and (ii) constructing an aggregation ranking based on the aggregation function values. In an illustrative application, the judges are different Internet search engines and the rankings are sets of search engine results generated for a query input to the search engines, and a consensus search result corresponding to the query is defined by the aggregation ranking. In another illustrative application, the judges are different soft classifiers, and the rankings are probability vectors generated for an input object by the different soft classifiers, and the input object is classified based on a consensus probability vector defined by the aggregation ranking.