Title: Comparing Intervals for Decision Aiding
Speaker: Meltem Ozturk, LAMSADE
Date: November 29, 2004 2:00 pm
Location: DIMACS Center, CoRE Bldg, Room 433, Rutgers University, Busch Campus, Piscataway, NJ
In decision analysis, we generally construct models in order to represent the problem situation (set of alternatives, criteria, attributes etc.) and the vision of the decision maker (DM) (his preferences, his definition of rationality, etc.). This task is not always easy due to dubious, uncertain, imprecise, inconsistent information and complexe nature of DM preferences (like hesitation between preference (P) and indifference (I)).
In our talk, we will present some models where the uncertainty of information are represented by intervals and some extended preference structures such as PQI interval orders are used in order to deal with complexe nature of DM preferences. Such orders introduce a third relation "weak preference" (Q) which permits the DM to express his hesitation between preference and indifference. The use of non-classical logics (especially four valued one and its continuous extension) and fuzzy set theory for the characterization of such structures will be also discussed during our talk.