Leximin optimality and fuzzy set-theoretic operations - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue European Journal of Operational Research Année : 2001

Leximin optimality and fuzzy set-theoretic operations

Résumé

The leximin ranking of vectors of values taken from a totally ordered set is sometimes encountered in fields like operational research, social choice or numerical analysis, but has seldom been studied in connexion with fuzzy optimization. In this paper we prove that a leximin-optimal solution to a vector ranking problem on the unit hypercube can be obtained as the limit of optimal solutions to a problem of fuzzy multiple criteria optimization where fuzzy sets are aggregated either using a triangular norm or a generalized mean or an ordered weighted average (OWA) operation.

Dates et versions

hal-03385596 , version 1 (19-10-2021)

Identifiants

Citer

Didier Dubois, Philippe Fortemps, Marc Pirlot, Henri Prade. Leximin optimality and fuzzy set-theoretic operations. European Journal of Operational Research, 2001, 130 (1), pp.20-28. ⟨10.1016/S0377-2217(00)00031-X⟩. ⟨hal-03385596⟩
18 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More