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Classic Works of the Dempster-shafer Theory of Belief Functions (Studies in Fuzziness and Soft Computing)

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Classic Works of the Dempster-shafer Theory of Belief Functions

Studies in Fuzziness and Soft Computing

By Ronald R. Yager (Edited by), Liping Liu (Edited by)

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Format: Paperback / softback, 806 pages, 2008 Edition
Other Information: 81 black & white illustrations, 43 black & white tables
Published In: Germany, 02 November 2010
This is a collection of classic research papers on the Dempster-Shafer theory of belief functions. The book is the authoritative reference in the field of evidential reasoning and an important archival reference in a wide range of areas including uncertainty reasoning in artificial intelligence and decision making in economics, engineering, and management. The book includes a foreword reflecting the development of the theory in the last forty years.

Table of Contents

Classic Works of the Dempster-Shafer Theory of Belief Functions: An Introduction.- New Methods for Reasoning Towards Posterior Distributions Based on Sample Data.- Upper and Lower Probabilities Induced by a Multivalued Mapping.- A Generalization of Bayesian Inference.- On Random Sets and Belief Functions.- Non-Additive Probabilities in the Work of Bernoulli and Lambert.- Allocations of Probability.- Computational Methods for A Mathematical Theory of Evidence.- Constructive Probability.- Belief Functions and Parametric Models.- Entropy and Specificity in a Mathematical Theory of Evidence.- A Method for Managing Evidential Reasoning in a Hierarchical Hypothesis Space.- Languages and Designs for Probability Judgment.- A Set-Theoretic View of Belief Functions.- Weights of Evidence and Internal Conflict for Support Functions.- A Framework for Evidential-Reasoning Systems.- Epistemic Logics, Probability, and the Calculus of Evidence.- Implementing Dempster's Rule for Hierarchical Evidence.- Some Characterizations of Lower Probabilities and Other Monotone Capacities through the use of Mobius Inversion.- Axioms for Probability and Belief-Function Propagation.- Generalizing the Dempster-Shafer Theory to Fuzzy Sets.- Bayesian Updating and Belief Functions.- Belief-Function Formulas for Audit Risk.- Decision Making Under Dempster-Shafer Uncertainties.- Belief Functions: The Disjunctive Rule of Combination and the Generalized Bayesian Theorem.- Representation of Evidence by Hints.- Combining the Results of Several Neural Network Classifiers.- The Transferable Belief Model.- A k-Nearest Neighbor Classification Rule Based on Dempster-Shafer Theory.- Logicist Statistics II: Inference.

EAN: 9783642064784
ISBN: 3642064787
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Dimensions: 23.39 x 15.6 x 4.17 centimetres (1.23 kg)
Age Range: 15+ years
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