Representation of preferences over a finite scale by a mean operator

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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Year of publication:	2006
Authors:	Grabisch, Michel
Institutions:	HAL
Subject:	preference representation \| finite scale \| meanoperator \| aggregation of scores \| refinement of scale

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Extent:	application/pdf
Series:	Post-Print.
Type of publication:	Book / Working Paper
Notes:	View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00179069 Published, Mathematical Social Sciences, 2006, 52, 2, 131-151
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010750843