Classic works of the Dempster-Shafer theory of belief functions

This book brings together a collection of classic research papers on the Dempster-Shafer theory of belief functions. By bridging fuzzy logic and probabilistic reasoning, the theory of belief functions has become a primary tool for knowledge representation and uncertainty reasoning in expert systems....

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Other Authors: Yager, Ronald R., 1941-, Liu, Liping (Computer scientist), SpringerLink (Online service)
Format: eBook
Language: English
Published: Berlin ; New York : Springer, 2008.
Berlin ; New York : 2008.
Physical Description: 1 online resource (xix, 806 pages) : illustrations.
Series: Studies in fuzziness and soft computing ; v. 219.
Subjects:
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 Möbius 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.