On incomplete preference structures |
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| Authors: | Claude Flament |
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| Institution: | Centre de Mathématique Sociale, E.H.E.S.S., La Vielle Charité, F-13002, Marseille, USA;Département de Phychologie, Université de Provence, F-13621 Aix-en-Provence, USA |
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| Abstract: | Incomplete preference structures are composed of three relations: preference, indifference and incomparability. We survey some very recent works which model such structures, using interval orders or semi orders. Three approaches are proposed: first, in relation to comparability graph characterization; second, in relation to order dimension theory; and third, representation of the structures on the real line. |
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| Keywords: | Preference theory partial orders interval orders semi orders order dimension comparability graphs |
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