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

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dc.contributor Ministerio de Ciencia y Tecnología (España)
dc.creator Godo, Lluis
dc.creator Zapico, Adriana
dc.date 2007-11-20T09:05:24Z
dc.date 2007-11-20T09:05:24Z
dc.date 2006
dc.date.accessioned 2017-01-31T00:58:49Z
dc.date.available 2017-01-31T00:58:49Z
dc.identifier Mathware and Soft Computing, 2006, 13 (3): 157-171.
dc.identifier 1134-5632
dc.identifier http://hdl.handle.net/10261/2223
dc.identifier.uri http://dspace.mediu.edu.my:8181/xmlui/handle/10261/2223
dc.description 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.
dc.description Lluis Godo acknowledges partial support of the Spanish project MULOG, TIN2004-07933-C03-01.
dc.description Peer reviewed
dc.language eng
dc.publisher Universidad Politécnica de Cataluña
dc.rights openAccess
dc.subject Axiomatic systems
dc.subject Possibilistic decision theory
dc.subject Lexicographic refinements
dc.title Lexicographic combinations of preference relations in the context of Possibilistic Decision Theory
dc.title Combinaciones lexicográficas de relaciones de preferencia en el contexto de la Teoría de la Decisión Posibilista
dc.type Artículo


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