Lexicographic combinations of preference relations in the context of Possibilistic Decision Theory.

Título inglés	Lexicographic combinations of preference relations in the context of Possibilistic Decision Theory.
Título español	Combinaciones lexicográficas de relaciones de preferencia en el contexto de la Teoría de la Decisión Posibilista.
Autor/es	Godo, Lluís ; Zapico, Adriana
Organización	Inst. Inv. Intel. Artif. (CSIC), Bellaterra (Barcelona), España;Univ. Nac. Río Cuarto CONICET, Río Cuarto, Argentina
Revista	1134-5632
Publicación	2006, 13 (3): 157-171, 10 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	In Possibilistic Decision Theory (PDT), decisions are ranked by a pressimistic or by an optimistic qualitative criteria. The preference relations induced by these criteria have been axiomatized by corresponding sets of rationality postulates, both à la von Neumann and Morgenstern and à la Savage. In this paper we first address a particular issue regarding the axiomatic systems of PDT à la von Neumann and Morgenstern. Namely, we show how to adapt the axiomatic systems for the pessimistic and optimistic criteria when some finiteness assumptions in the original model are dropped. Second, we show that a recent axiomatic approach by Giang and Shenoy using binary utilities can be captured by preference relations defined as lexicographic refinements of the above two criteria. We also provide an axiomatic characterization of these lexicographic refinements.
Clasificación UNESCO	120904
Palabras clave español	Teoría de la decisión ; Lógica difusa ; Relación de preferencia
Código MathReviews	MR2321600
Código Z-Math	Zbl pre05180978
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