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  • © 1995

A Mathematical Theory of Hints

An Approach to the Dempster-Shafer Theory of Evidence

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
  2. Elements of the Theory of Hints

    1. Front Matter

      Pages 1-1
    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
    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
    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

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

Bibliographic Information

Buy it now

Buying options

eBook USD 119.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 159.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access