Preference Structures and Co-comparability Graphs

✍ Scribed by Moncef Abbas; Marc Pirlot; Philippe Vincke

• Publisher: John Wiley and Sons
• Year: 1996
• Tongue: English
• Weight: 850 KB
• Volume: 5
• Category: Article
• ISSN: 1057-9214
• DOI: 10.1002/(sici)1099-1360(199606)5:2<81::aid-mcda101>3.0.co;2-v

✦ Synopsis

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.