On supremal and maximal sets with respect to random partial orders.

Yuri Kabanov (1) , Emmanuel Lépinette (2)

1 UFC - Université de Franche-Comté
2 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

The paper deals with definition of supremal sets in a rather general framework where deterministic and random preference relations (preorders) and partial orders are defined by continuous multi-utility representations. It gives a short survey of the approach with some new results on maximal sets.

Domaines: Probabilités [math.PR]

Yuri Kabanov, Emmanuel Lépinette. On supremal and maximal sets with respect to random partial orders.. Hamel, A., Heyde, F., Löhne, A., Rudloff, B., Schrage, C. (eds) Set Optimization and Applications - The State of the Art. Springer Proceedings in Mathematics & Statistics, vol 151. Springer, Berlin, Heidelberg., 2015, Springer Proceedings in Mathematics & Statistics, 151, pp.275-291. ⟨10.1007/978-3-662-48670-2_9⟩. ⟨hal-00931658⟩