Representation of preferences over a finite scale by a mean operator

Michel Grabisch

Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) from HAL

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 $E$.

Keywords: preference representation; finite scale; mean operator; aggregation of scores; refinement of scale (search for similar items in EconPapers)
Date: 2006
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00179069
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Citations: View citations in EconPapers (2)

Published in Mathematical Social Sciences, 2006, 52 (2), pp.131-151. ⟨10.1016/j.mathsocsci.2006.05.001⟩

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Related works:
Journal Article: Representation of preferences over a finite scale by a mean operator (2006)
Working Paper: Representation of preferences over a finite scale by a mean operator (2006)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:cesptp:halshs-00179069

DOI: 10.1016/j.mathsocsci.2006.05.001

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