A mathematical theory of hints : an approach to the Dempster-Shafer theory of evidence
Author(s)
Bibliographic Information
A mathematical theory of hints : an approach to the Dempster-Shafer theory of evidence
（Lecture notes in economics and mathematical systems, 425）
Springer-Verlag, c1995
- : Berlin
- : New York
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Note
Includes bibliographical references (p. [410]-416) and index
Description and Table of Contents
Description
An approach to the modeling of and the reasoning under uncertainty. The book develops the Dempster-Shafer Theory with regard to the reliability of reasoning with uncertain arguments. Of particular interest here is the development of a new synthesis and the integration of logic and probability theory. The reader benefits from a new approach to uncertainty modeling which extends classical probability theory.
Table of Contents
1. Introductory Examples.- 2. The Mathematical Concept of a Hint.- 3. Support, Credibility, Plausibility and Possibility.- 4. Combining Hints.- 5. Probabilistic Assumption-Based Reasoning.- 6. Rule-Based Systems With Unreliable Rules.- 7. Compatible Frames of Discernment.- 8. Reasoning on Compatible Frames.- 9. Statistical Inference.- 10. Describing Uncertainty in Dynamical Systems.- 11. Diagnostics.- 12. Temporal and Spatial Reasoning.- 13. The General Model of a Hint.- 14. Structure of Support and Plausibility.- 15. Dempster's Rule in the General Case.- 16. Closed Random Intervals.- References.
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