A Geometrical Approach to Aggregation
نویسنده
چکیده
Considering the family F of contour curves F = {h(x, y) = k) of an (idempotent) aggregation operator h in two variables as a oneparametric family of curves, the differential equation y′ = f(x, y) having F as general solution is associated to h. Properties of h have then be translated to properties of its differential equation. Reciprocally, for a differential equation fulfilling some easy properties its general solution can be seen as the contour curves of an idempotent aggregation operator so that properties of the equation can have their counterpart in the ones of the aggregation operator.
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