Relational Systems of Preference with One or More Pseudo-Criteria: Some New Concepts and Results
Roy, Bernard; Vincke, Philippe (1984), Relational Systems of Preference with One or More Pseudo-Criteria: Some New Concepts and Results, Management Science, 30, 11, p. 1323-1335. http://dx.doi.org/10.1287/mnsc.30.11.1323
TypeArticle accepté pour publication ou publié
Journal nameManagement Science
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Abstract (EN)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.
Subjects / Keywordspreference; decision; pseudo-criteria; semiorder
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