Representation of preferences over a finite scale by a mean operator

Abstract : Suppose that a decision maker provides a weak order on a given set of alternatives, each alternative being described by a vector of scores, which are given on a finite ordinal scale $E$. The paper addresses the question of the representation of this weak order by some mean operator, and gives necessary and sufficient conditions for such a representation, with possible shrinking and/or refinement of the scale $E$.
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Submitted on : Friday, October 12, 2007 - 5:58:05 PM
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Michel Grabisch. Representation of preferences over a finite scale by a mean operator. Mathematical Social Sciences, Elsevier, 2006, 52 (2), pp.131-151. ⟨10.1016/j.mathsocsci.2006.05.001⟩. ⟨halshs-00179069⟩

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