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Semiorders

Properties, Representations, Applications

  • Book
  • © 1997

Overview

Authors:
  1. M. Pirlot

    1. Faculté Polytechnique de Mons, Mons, Belgium

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    You can also search for this author in PubMed   Google Scholar

  2. Ph. Vincke

    1. Université Libre de Bruxelles, Bruxelles, Belgium

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    You can also search for this author in PubMed   Google Scholar

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

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-x
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  2. Introduction

    • M. Pirlot, Ph. Vincke
    Pages 1-6

  3. First Presentation of the Basic Concepts

    • M. Pirlot, Ph. Vincke
    Pages 7-18

  4. Historical Review and Applications

    • M. Pirlot, Ph. Vincke
    Pages 19-48

  5. Basic Concepts and Definitions

    • M. Pirlot, Ph. Vincke
    Pages 49-70

  6. Minimal Representations

    • M. Pirlot, Ph. Vincke
    Pages 71-102

  7. Valued Semiorders

    • M. Pirlot, Ph. Vincke
    Pages 103-123

  8. Aggregation of Semiorders

    • M. Pirlot, Ph. Vincke
    Pages 125-165

  9. Miscellaneous

    • M. Pirlot, Ph. Vincke
    Pages 167-172

  10. Conclusion

    • M. Pirlot, Ph. Vincke
    Pages 173-174

  11. Back Matter

    Pages 175-190
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Keywords

About this book

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.

Authors and Affiliations

  • Faculté Polytechnique de Mons, Mons, Belgium

    M. Pirlot

  • Université Libre de Bruxelles, Bruxelles, Belgium

    Ph. Vincke

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