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A Mathematical Theory of Hints

An Approach to the Dempster-Shafer Theory of Evidence

  • Book
  • © 1995

Overview

Authors:
  1. Jürg Kohlas

    1. Institute of Informatics, University of Fribourg, Fribourg, Switzerland

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    You can also search for this author in PubMed   Google Scholar

  2. Paul-André Monney

    1. Institute of Informatics, University of Fribourg, Fribourg, Switzerland

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    You can also search for this author in PubMed   Google Scholar

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

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Table of contents (16 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Elements of the Theory of Hints

    1. Front Matter

      Pages 1-1
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    2. Introductory Examples

      • Jürg Kohlas, Paul-André Monney
      Pages 3-31

    3. The Mathematical Concept of a Hint

      • Jürg Kohlas, Paul-André Monney
      Pages 32-39

    4. Support, Credibility, Plausibility and Possibility

      • Jürg Kohlas, Paul-André Monney
      Pages 40-60

    5. Combining Hints

      • Jürg Kohlas, Paul-André Monney
      Pages 61-81

    6. Probabilistic Assumption-Based Reasoning

      • Jürg Kohlas, Paul-André Monney
      Pages 82-135

    7. Rule-Based Systems With Unreliable Rules

      • Jürg Kohlas, Paul-André Monney
      Pages 136-155

    8. Compatible Frames of Discernment

      • Jürg V, Paul-André Monney
      Pages 156-187

    9. Reasoning on Compatible Frames

      • Jürg Kohlas, Paul-André Monney
      Pages 188-242

  3. Applications

    1. Front Matter

      Pages 243-243
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    2. Statistical Inference

      • Jürg Kohlas, Paul-André Monney
      Pages 245-269

    3. Describing Uncertainty in Dynamical Systems

      • Jürg Kohlas, Paul-André Monney
      Pages 270-280

    4. Diagnostics

      • Jürg Kohlas, Paul-André Monney
      Pages 281-304

    5. Temporal and Spatial Reasoning

      • Jürg Kohlas, Paul-André Monney
      Pages 305-351

  4. A General Theory of Hints

    1. Front Matter

      Pages 353-353
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    2. The General Model of a Hint

      • Jürg Kohlas, Paul-André Monney
      Pages 355-369

    3. Structure of Support and Plausibility

      • Jürg Kohlas, Paul-André Monney
      Pages 370-382

    4. Dempster’s Rule in the General Case

      • Jürg Kohlas, Paul-André Monney
      Pages 383-392

    5. Closed Random Intervals

      • Jürg Kohlas, Paul-André Monney
      Pages 393-409
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Keywords

About this book

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.

Authors and Affiliations

  • Institute of Informatics, University of Fribourg, Fribourg, Switzerland

    Jürg Kohlas, Paul-André Monney

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