A Mathematical Theory of Hints
An Approach to the Dempster-Shafer Theory of Evidence
Published on 20. June 1995
Book
Paperback/Softback
XIII, 422 pages
978-3-540-59176-4 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
9 s/w Abbildungen
XIII, 422 p. 9 illus.
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 24 mm
Weight
633 gr
ISBN-13
978-3-540-59176-4 (9783540591764)
DOI
10.1007/978-3-662-01674-9
Schweitzer Classification
Content
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.