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Representation of preference relations induced by lattice-valued, generalized possibilistic utility functions

AutorZapico, Adriana; Godo, Lluis
Palabras claveQualitative decision theory
Possibility theory
Fecha de publicación2000
EditorWorld Scientific Publishing
CitaciónInternational Journal of Uncertainty, Fuzziness and Knowlege-Based Systems 8: 719- 733 (2000)
ResumenRepresentational issues of preferences in the framework of a possibilistic ordinal decision model under uncertainty were introduced by Dubois and Prade a few years ago. In this framework, finite, linear, commensurate uncertainty and preference scales are assumed and decisions are ranked according to their expected utility in terms of Sugeno integrals. In this paper we generalise the model by allowing (i) to measure uncertainty and preferences on finite, distributive lattices with involution, and (ii) to formulate the utility expectations in terms of generalized Sugeno integrals where t-norms and t-conorms play a role. For these generalized utility functions we provide axiomatic characterisations. Finally, we also briefly comment the case of working with belief states that may be partially inconsistent, which is usual in case-based decision making problems or when several inconsistent sources of information are available.
Identificadoresdoi: 10.1142/S0218488500000526
issn: 0218-4885
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