Axiomatic Foundations of Generalized Qualitative Utility - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2013

Axiomatic Foundations of Generalized Qualitative Utility

Paul Weng
  • Fonction : Auteur
  • PersonId : 952563

Résumé

The aim of this paper is to provide a unifying axiomatic justification for a class of qualitative decision models comprising among others optimistic/pessimistic qualitative utilities, binary possibilistic utility, likelihood-based utility, Spohn’s disbelief function-based utility. All those criteria that are instances of Algebraic Expected Utility have been shown to be counterparts of Expected Utility thanks to a unifying axiomatization in a von Neumann-Morgenstern setting when non probabilistic decomposable uncertainty measures are used. Those criteria are based on ( ⊕ , ⊗ ) operators, counterpart of ( + , ×) used by Expected Utility, where ⊕ is an idempotent operator and ⊗ is a triangular norm. The axiomatization is lead in the Savage setting which is a more general setting than that of von Neumann-Morgenstern as here we do not assume that the uncertainty representation of the decision-maker is known.

Dates et versions

hal-01216438 , version 1 (16-10-2015)

Identifiants

Citer

Paul Weng. Axiomatic Foundations of Generalized Qualitative Utility. 7th Multi-Disciplinary International Workshop on Artificial Intelligence, MIWAI 2013, Dec 2013, Krabi, Thailand. pp.305-316, ⟨10.1007/978-3-642-44949-9_28⟩. ⟨hal-01216438⟩
45 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More