Sensitivity Analysis in Multi-objective Decision Making:
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 f...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1990
|
| Edition: | 1st ed. 1990 |
| Series: | Lecture Notes in Economics and Mathematical Systems
347 |
| Subjects: | |
| Online Access: | BTU01 Volltext |
| Summary: | 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 |
| Physical Description: | 1 Online-Ressource (XI, 193 p) |
| ISBN: | 9783642516566 |
| DOI: | 10.1007/978-3-642-51656-6 |
Staff View
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Record in the Search Index
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| author | Rios Insua, David |
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| discipline | Mathematik Wirtschaftswissenschaften |
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| edition | 1st ed. 1990 |
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| id | DE-604.BV046871345 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T15:15:35Z |
| indexdate | 2024-07-10T08:56:07Z |
| institution | BVB |
| isbn | 9783642516566 |
| language | English |
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| spelling | Rios Insua, David Verfasser aut Sensitivity Analysis in Multi-objective Decision Making by David Rios Insua 1st ed. 1990 Berlin, Heidelberg Springer Berlin Heidelberg 1990 1 Online-Ressource (XI, 193 p) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Economics and Mathematical Systems 347 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 Operations Research/Decision Theory Operations research Decision making Entscheidungstheorie (DE-588)4138606-1 gnd rswk-swf Statistische Entscheidungstheorie (DE-588)4077850-2 gnd rswk-swf Sensitivitätsanalyse (DE-588)4129730-1 gnd rswk-swf Entscheidung bei mehrfacher Zielsetzung (DE-588)4113444-8 gnd rswk-swf Sensitivitätsanalyse (DE-588)4129730-1 s Statistische Entscheidungstheorie (DE-588)4077850-2 s DE-604 Entscheidungstheorie (DE-588)4138606-1 s Entscheidung bei mehrfacher Zielsetzung (DE-588)4113444-8 s Erscheint auch als Druck-Ausgabe 9783540526926 Erscheint auch als Druck-Ausgabe 9783642516573 https://doi.org/10.1007/978-3-642-51656-6 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Rios Insua, David Sensitivity Analysis in Multi-objective Decision Making Operations Research/Decision Theory Operations research Decision making Entscheidungstheorie (DE-588)4138606-1 gnd Statistische Entscheidungstheorie (DE-588)4077850-2 gnd Sensitivitätsanalyse (DE-588)4129730-1 gnd Entscheidung bei mehrfacher Zielsetzung (DE-588)4113444-8 gnd |
| subject_GND | (DE-588)4138606-1 (DE-588)4077850-2 (DE-588)4129730-1 (DE-588)4113444-8 |
| title | Sensitivity Analysis in Multi-objective Decision Making |
| title_auth | Sensitivity Analysis in Multi-objective Decision Making |
| title_exact_search | Sensitivity Analysis in Multi-objective Decision Making |
| title_exact_search_txtP | Sensitivity Analysis in Multi-objective Decision Making |
| title_full | Sensitivity Analysis in Multi-objective Decision Making by David Rios Insua |
| title_fullStr | Sensitivity Analysis in Multi-objective Decision Making by David Rios Insua |
| title_full_unstemmed | Sensitivity Analysis in Multi-objective Decision Making by David Rios Insua |
| title_short | Sensitivity Analysis in Multi-objective Decision Making |
| title_sort | sensitivity analysis in multi objective decision making |
| topic | Operations Research/Decision Theory Operations research Decision making Entscheidungstheorie (DE-588)4138606-1 gnd Statistische Entscheidungstheorie (DE-588)4077850-2 gnd Sensitivitätsanalyse (DE-588)4129730-1 gnd Entscheidung bei mehrfacher Zielsetzung (DE-588)4113444-8 gnd |
| topic_facet | Operations Research/Decision Theory Operations research Decision making Entscheidungstheorie Statistische Entscheidungstheorie Sensitivitätsanalyse Entscheidung bei mehrfacher Zielsetzung |
| url | https://doi.org/10.1007/978-3-642-51656-6 |
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