Quantified Representation of Uncertainty and Imprecision

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We are happy to present the first volume of the Handbook of Defeasible Reasoning and Uncertainty Management Systems. Uncertainty pervades the real world and must therefore be addressed by every system that attempts to represent reality. The representation of uncertainty is a ma­ jor concern of philosophers, logicians, artificial intelligence researchers and com­ puter sciencists, psychologists, statisticians, economists and engineers. The present Handbook volumes provide frontline coverage of this area. This Handbook was produced in the style of previous handbook series like the Handbook of Philosoph­ ical Logic, the Handbook of Logic in Computer Science, the Handbook of Logic in Artificial Intelligence and Logic Programming, and can be seen as a companion to them in covering the wide applications of logic and reasoning. We hope it will answer the needs for adequate representations of uncertainty. This Handbook series grew out of the ESPRIT Basic Research Project DRUMS II, where the acronym is made out of the Handbook series title. This project was financially supported by the European Union and regroups 20 major European research teams working in the general domain of uncertainty. As a fringe benefit of the DRUMS project, the research community was able to create this Hand­ book series, relying on the DRUMS participants as the core of the authors for the Handbook together with external international experts.

Author(s): Philippe Smets (auth.), Philippe Smets (eds.)
Series: Handbook of Defeasible Reasoning and Uncertainty Management Systems 1
Edition: 1
Publisher: Springer Netherlands
Year: 1998

Language: English
Pages: 477
Tags: Logic; Artificial Intelligence (incl. Robotics); Mathematical Logic and Foundations; Statistics, general

Front Matter....Pages i-viii
Probability, Possibility, Belief: Which and Where?....Pages 1-24
Multi-Valued Logics....Pages 25-74
Fuzzy Logic....Pages 75-109
The Bayesian Approach....Pages 111-134
Confirmation Theory....Pages 135-167
Possibility Theory: Qualitative and Quantitative Aspects....Pages 169-226
Families of Probabilities....Pages 227-245
The Evidentiary Value Model....Pages 247-265
The Transferable Belief Model for Quantified Belief Representation....Pages 267-301
Infinitesimal Theories of Uncertainty for Plausible Reasoning....Pages 303-356
Statistical Inference....Pages 357-366
Graphical Models for Probabilistic and Causal Reasoning....Pages 367-389
Game Theory....Pages 391-439
Psychological Challenges for Normative Models....Pages 441-467
Back Matter....Pages 469-477