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 $E$.

• Publication year

  2006

• Venue

  Mathematical Social Sciences

• Publication date

  2006-09-01

• Fields of study

  Mathematics, Computer Science

• Identifiers
  DOI 10.1016/j.mathsocsci.2006.05.001
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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