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

B. Roy and Ph. Vincke
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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

Management Science, 1984, vol. 30, issue 11, 1323-1335

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.

Keywords: preference; decision; pseudo-criteria; semiorder (search for similar items in EconPapers)
Date: 1984
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