A Mathematical Theory of Hints: An Approach to the Dempster-Shafer Theory of Evidence

Front Cover
Springer Science & Business Media, Nov 11, 2013 - Business & Economics - 422 pages
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.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Introductory Examples
3
The Mathematical Concept of a Hint
32
Support Credibility Plausibility and Possibility
40
Combining Hints
61
Probabilistic AssumptionBased Reasoning
82
RuleBased Systems With Unreliable Rules
136
Compatible Frames of Discernment
156
Reasoning on Compatible Frames
188
Diagnostics
281
Temporal and Spatial Reasoning
305
A General Theory of Hints
353
Structure of Support and Plausibility
370
Dempsters Rule in the General Case
383
Closed Random Intervals
393
References
410
4 17
418

Statistical Inference 245
244
Describing Uncertainty in Dynamical Systems
270

Other editions - View all

Common terms and phrases

Bibliographic information