Abstract
Abstract We give the general form of consensus functions on valued (or fuzzy) quasi-orders which satisfy two simple Arrow-like conditions of efficiency and binariness. Various previously known consensus results on the aggregation of preferences and mathematical classification may be derived from our result: directly, on quasi-orders (Mirkin), equivalences (Mirkin) or ultrametrics (Barthelemy, Leclerc and Monjardet); with further considerations, on complete quasi-orders or weak orders (Arrow; Mas-Collel and Sonnenschein) and orders (Brown).
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