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Axiomatic Foundations of Generalized Qualitative Utility

Paul Weng 1
1 DECISION
LIP6 - Laboratoire d'Informatique de Paris 6
Abstract : 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.
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Conference papers
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https://hal.archives-ouvertes.fr/hal-01216438
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Submitted on : Friday, October 16, 2015 - 11:43:33 AM
Last modification on : Thursday, March 21, 2019 - 2:30:40 PM

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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⟩

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