Sensitivity analysis in multi objective decision making

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The axiomatic foundations of the Bayesian approach to decision making assurne precision in the decision maker's judgements.



The axiomatic foundations of the Bayesian approach to decision making assurne precision in the decision maker's judgements. In practicc, dccision makers often provide only partial and/or doubtful information. We unify and expand results to deal with those cases introducing a general framework for sensitivity analysis in multi-objective decision making. We study first decision making problems under partial information. We provide axioms leading to modelling preferences by families of value functions, in problems under certainty, and moJelling beliefs by families of probability distributions and preferences by familics of utility functions, in problems under uncertainty. Both problems are treated in parallel with the same parametric model. Alternatives are ordered in a Pareto sense, the solution of the problem being the set of non­ dominated alternatives. Potentially optimal solutions also seem acceptable, from an intuitive point of view and due to their relation with the nondominated ones. Algorithms are provided to compute these solutions in general problems and in cases typical in practice: linear and bilinear problems. Other solution concepts are criticised on the grounds of being ad hoc. In summary, we have a more ro­ bust theory of decision making based on a weaker set ofaxioms, but embodying coherence, since it essentially implies carrying out a family of coherent dccision anitlyses.

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Taal: en

Bindwijze: Paperback

Oorspronkelijke releasedatum: 08 augustus 1990

Aantal pagina's: 193

Illustraties: Nee

Hoofdauteur: David Rios Insua

Tweede Auteur: David Rios Insua

Hoofduitgeverij: Springer-Verlag Berlin and Heidelberg GmbH & Co. K

Editie: 1990 ed.

Extra groot lettertype: Nee

Product breedte: 140 mm

Product lengte: 216 mm

Verpakking breedte: 140 mm

Verpakking hoogte: 0 mm

Verpakking lengte: 216 mm

Verpakkingsgewicht: 350 g

EAN: 9783540526926

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