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Sensitivity Analysis in Multi-objective Decision Making

  • Book
  • © 1990

Overview

Authors:
  1. David Ríos Insua

    1. School of Computer Studies, University of Leeds, Leeds, UK
      Dpt. de Inteligencia Artificial, Facultad de Informática, Universidad Politécnica de Madrid, Madrid, Spain

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Part of the book series: Lecture Notes in Economics and Mathematical Systems (LNE, volume 347)

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Table of contents (5 chapters)

  1. Front Matter

    Pages I-XI
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  2. Partial Information and Sensitivity Analysis in Decision Making. Introduction

    • David Ríos Insua
    Pages 1-27

  3. Decision Making under Partial Information: Theory and Algorithms

    • David Ríos Insua
    Pages 28-73

  4. Sensitivity Analysis in Multi-objective Decision Making

    • David Ríos Insua
    Pages 74-126

  5. Computational experience

    • David Ríos Insua
    Pages 127-163

  6. Conclusions

    • David Ríos Insua
    Pages 164-171

  7. Back Matter

    Pages 172-193
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Keywords

About this book

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.

Authors and Affiliations

  • School of Computer Studies, University of Leeds, Leeds, UK

    David Ríos Insua

  • Dpt. de Inteligencia Artificial, Facultad de Informática, Universidad Politécnica de Madrid, Madrid, Spain

    David Ríos Insua

Bibliographic Information

  • Book Title: Sensitivity Analysis in Multi-objective Decision Making

  • Authors: David Ríos Insua

  • Series Title: Lecture Notes in Economics and Mathematical Systems

  • DOI: https://doi.org/10.1007/978-3-642-51656-6

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1990

  • Softcover ISBN: 978-3-540-52692-6Published: 08 August 1990

  • eBook ISBN: 978-3-642-51656-6Published: 29 June 2013

  • Series ISSN: 0075-8442

  • Series E-ISSN: 2196-9957

  • Edition Number: 1

  • Number of Pages: XI, 193

  • Topics: Operations Research/Decision Theory

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