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A Mathematical Theory of Hints

An Approach to the Dempster-Shafer Theory of Evidence

  • Jürg Kohlas
  • Paul-André Monney

Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 425)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Elements of the Theory of Hints

    1. Front Matter
      Pages 1-1
    2. Jürg Kohlas, Paul-André Monney
      Pages 3-31
    3. Jürg Kohlas, Paul-André Monney
      Pages 32-39
    4. Jürg Kohlas, Paul-André Monney
      Pages 40-60
    5. Jürg Kohlas, Paul-André Monney
      Pages 61-81
    6. Jürg Kohlas, Paul-André Monney
      Pages 82-135
    7. Jürg Kohlas, Paul-André Monney
      Pages 136-155
    8. Jürg V, Paul-André Monney
      Pages 156-187
    9. Jürg Kohlas, Paul-André Monney
      Pages 188-242
  3. Applications

    1. Front Matter
      Pages 243-243
    2. Jürg Kohlas, Paul-André Monney
      Pages 245-269
    3. Jürg Kohlas, Paul-André Monney
      Pages 270-280
    4. Jürg Kohlas, Paul-André Monney
      Pages 281-304
    5. Jürg Kohlas, Paul-André Monney
      Pages 305-351
  4. A General Theory of Hints

    1. Front Matter
      Pages 353-353
    2. Jürg Kohlas, Paul-André Monney
      Pages 355-369
    3. Jürg Kohlas, Paul-André Monney
      Pages 370-382
    4. Jürg Kohlas, Paul-André Monney
      Pages 383-392
    5. Jürg Kohlas, Paul-André Monney
      Pages 393-409
  5. Back Matter
    Pages 410-422

About this book

Introduction

The subject of the book is an approach to the modeling of and the reasoning under uncertainty. It develops the Dempster-Shafer Theory as a theory of the reliability of reasoning with uncertain arguments. A particular interest of this approach is that it yields a new synthesis and integration of logic and probability theory. The reader will benefit from a new view at uncertainty modeling which extends classical probability theory.

Keywords

Unsicherheit Wahrscheinlichkeitstheorie artificial intelligence künstliche Intelligenz probability theory uncertainty dynamical systems integration logic model modeling probability statistical inference

Authors and affiliations

  • Jürg Kohlas
    • 1
  • Paul-André Monney
    • 1
  1. 1.Institute of InformaticsUniversity of FribourgFribourgSwitzerland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-01674-9
  • Copyright Information Springer-Verlag Berlin Heidelberg 1995
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-59176-4
  • Online ISBN 978-3-662-01674-9
  • Series Print ISSN 0075-8442
  • Buy this book on publisher's site
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