Juerg Kohlas, Paul-Andre Monney

A Mathematical Theory of Hints

An Approach to the Dempster-Shafer Theory of Evidence

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Lecture Notes in Economics and Mathematical Systems 425
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-59176-4
• 1995.
• Seitenzahl: 440
• Erscheinungstermin: 20. Juni 1995
• Englisch
• Abmessung: 229mm x 152mm x 24mm
• Gewicht: 632g
• ISBN-13: 9783540591764
• ISBN-10: 3540591761
• Artikelnr.: 26711715

Inhaltsangabe

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.