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Semiorders

Properties, Representations, Applications

  • M. Pirlot
  • Ph. Vincke

Part of the Theory and Decision Library book series (TDLB, volume 36)

Table of contents

  1. Front Matter
    Pages i-x
  2. M. Pirlot, Ph. Vincke
    Pages 1-6
  3. M. Pirlot, Ph. Vincke
    Pages 7-18
  4. M. Pirlot, Ph. Vincke
    Pages 19-48
  5. M. Pirlot, Ph. Vincke
    Pages 49-70
  6. M. Pirlot, Ph. Vincke
    Pages 71-102
  7. M. Pirlot, Ph. Vincke
    Pages 103-123
  8. M. Pirlot, Ph. Vincke
    Pages 125-165
  9. M. Pirlot, Ph. Vincke
    Pages 167-172
  10. M. Pirlot, Ph. Vincke
    Pages 173-174
  11. Back Matter
    Pages 175-190

About this book

Introduction

Semiorder is probably one of the most frequently ordered structures in science. It naturally appears in fields like psychometrics, economics, decision sciences, linguistics and archaeology. It explicitly takes into account the inevitable imprecisions of scientific instruments by allowing the replacement of precise numbers by intervals. The purpose of this book is to dissect this structure and to study its fundamental properties. The main subjects treated are the numerical representations of semiorders, the generalizations of the concept to valued relations, the aggregation of semiorders and their basic role in a general theoretical framework for multicriteria decision-aid methods.
Audience: This volume is intended for students and researchers in the fields of decision analysis, management science, operations research, discrete mathematics, classification, social choice theory, and order theory, as well as for practitioners in the design of decision tools.

Keywords

decision analysis management mathematics operations research social choice

Authors and affiliations

  • M. Pirlot
    • 1
  • Ph. Vincke
    • 2
  1. 1.Faculté Polytechnique de MonsMonsBelgium
  2. 2.Université Libre de BruxellesBruxellesBelgium

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-015-8883-6
  • Copyright Information Springer Science+Business Media B.V. 1997
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-4869-1
  • Online ISBN 978-94-015-8883-6
  • Buy this book on publisher's site
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