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Relational Systems of Preference with One or More Pseudo-Criteria: Some New Concepts and Results

Author

Listed:
  • B. Roy

    (LAMSADE, Universite de Paris Dauphine, Place du Marechal de Lattre de Tassigny, 75775 Paris Cedex 16, France)

  • Ph. Vincke

    (Universite Libre de Bruxelles, CP210, Boulevard du Triomphe, B1050 Brussels, Belgium)

Abstract

This paper proposes new concepts and new results which could lead to a more realistic preference modeling than in classical decision theory. Sections 1--3 present four fundamental situations of preferences, their combinations and the concept of relational system of preferences. In §4, a particular case of relational system of preference is studied. It is associated with the concept of pseudo-criterion derived from the classical concept of criterion by adjunction of two thresholds. Some results are given, generalizing the properties of such well-known structures as complete preorders and semiorders. Sections 5 and 6 emphasize the possibilities given by the preceding concepts to take the imprecisions, irresolutions and incomparabilities appearing in every concrete problem where several criteria must be considered into account.

Suggested Citation

  • B. Roy & Ph. Vincke, 1984. "Relational Systems of Preference with One or More Pseudo-Criteria: Some New Concepts and Results," Management Science, INFORMS, vol. 30(11), pages 1323-1335, November.
    • Handle: RePEc:inm:ormnsc:v:30:y:1984:i:11:p:1323-1335
    DOI: 10.1287/mnsc.30.11.1323
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