A Mathematical Theory of Hints

An Approach to the Dempster-Shafer Theory of Evidence

Juerg Kohlas, Paul-Andre Monney (Autoren)

Buch | Softcover

XIII, 422 Seiten

1995
Springer Berlin (Verlag)
978-3-540-59176-4 (ISBN)

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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.

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.

Erscheint lt. Verlag	20.6.1995
Reihe/Serie	Lecture Notes in Economics and Mathematical Systems
Zusatzinfo	XIII, 422 p. 9 illus.
Verlagsort	Berlin
Sprache	englisch
Maße	152 x 229 mm
Gewicht	632 g
Themenwelt	Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik
	Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
	Wirtschaft ► Allgemeines / Lexika
	Wirtschaft ► Betriebswirtschaft / Management
Schlagworte	Artificial Intelligence • Dynamical Systems • Integration • Künstliche Intelligenz • Logic • Model • Modeling • Probability • Probability Theory • Statistical Inference • Uncertainty • Unsicherheit • Wahrscheinlichkeitstheorie
ISBN-10	3-540-59176-1 / 3540591761
ISBN-13	978-3-540-59176-4 / 9783540591764
Zustand	Neuware