Kohlas / Monney A Mathematical Theory of Hints

An Approach to the Dempster-Shafer Theory of Evidence
Erscheinungsjahr 2013
ISBN: 978-3-662-01674-9
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 425, 422 Seiten, eBook

Reihe: Lecture Notes in Economics and Mathematical Systems

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.

Zielgruppe

Research

Autoren/Hrsg.

Kohlas, Juerg

Monney, Paul-Andre

Inhaltsverzeichnis

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.