RELATIONAL SYSTEMS OF PREFERENCE WITH ONE OR MORE PSEUDO-CRITERIA - SOME NEW CONCEPTS AND RESULTS

This study proposes new concepts and new results which could lead to a more realistic preference modeling than in classical decision theory. The authors also present four fundamental situations of preferences, their combinations and the concept of relational system of preferences. 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.