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Preference structures and co-comparability graphs

par Abbas, M.;Pirlot, Marc ;Vincke, Philippe
Référence Journal of Multi-Criteria Decision Analysis, 5, 2, page (81-98)
Publication Publié, 1996-06

Article révisé par les pairs

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Résumé :

Order structures such as linear orders, weak orders, semiorders and interval orders are often considered as models of a decision maker's preferences. In this paper we introduce and study new order structures characterized by their symmetric part belonging to certain classes of co-comparability graphs. We outline possible interpretations and suggest special representations of these structures and we point out their potential use for approximating relations obtained through a multicriteria aggregation procedure. We provide various characterizations of the new structures (as well as of older ones) in terms of minimal forbidden configurations and by algebraic conditions.