Belief functions: The disjunctive rule of combination and the generalized Bayesian theorem
type: Item
instance of: scholarly article
title: Belief functions: The disjunctive rule of combination and the generalized Bayesian theorem
zbMATH Open document ID: 0796.68177
DOI: 10.1016/0888-613X(93)90005-X
author: Philippe Smets
published in: International Journal of Approximate Reasoning
publication date: 1993-12-08T00:00:00Z
review text: Belief functions of evidence theory based on basic probability assignments with not necessarily zero values for the empty set are considered. The usual Dempster's rule of combination is defined from the conjunction of two pieces of evidence. In the paper a disjunctive rule of combination, i.e., based on the disjunction of two pieces of evidence, is discussed. Also, the Bayes' rule is extended by replacement of conditional probabilities by belief functions. Properties of both operations and their use for belief propagation in directed belief networks are discussed.
Mathematics Subject Classification ID: 68T30
zbMATH DE Number: 465554
zbMATH Keywords: Dempster-Shafer theory
zbMATH Keywords: belief functions
zbMATH Keywords: evidence theory
zbMATH Keywords: Dempster's rule of combination
reviewed by: Jerzy W. Grzymala-Busse
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 465554