Multiplication and comultiplication of beliefs

Josang, A. and McAnally, D. (2005) Multiplication and comultiplication of beliefs. International Journal of Approximate Reasoning, 38 1: 19-51. doi:10.1016/j.ijar.2004.03.003


Author Josang, A.
McAnally, D.
Title Multiplication and comultiplication of beliefs
Journal name International Journal of Approximate Reasoning   Check publisher's open access policy
ISSN 0888-613X
Publication date 2005
Sub-type Article (original research)
DOI 10.1016/j.ijar.2004.03.003
Volume 38
Issue 1
Start page 19
End page 51
Total pages 33
Place of publication New York
Publisher Elsevier Science Inc
Collection year 2005
Language eng
Subject C1
0103 Numerical and Computational Mathematics
0104 Statistics
0801 Artificial Intelligence and Image Processing
Abstract Multiplication and comultiplication of beliefs represent a generalisation of multiplication and comultiplication of probabilities as well as of binary logic AND and OR. Our approach follows that of subjective logic, where belief functions are expressed as opinions that are interpreted as being equivalent to beta probability distributions. We compare different types of opinion product and coproduct, and show that they represent very good approximations of the analytical product and coproduct of beta probability distributions. We also define division and codivision of opinions, and compare our framework with other logic frameworks for combining uncertain propositions. (C) 2004 Elsevier Inc. All rights reserved.
Keyword Belief Calculus
Subjective Logic
Dempster-shafer
Belief Theory
Conjunction
Disjunction
Unconjunction
Undisjunction
Three Valued Logic
Support Logic
Computer Science, Artificial Intelligence
Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
2006 Higher Education Research Data Collection
 
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Citation counts: TR Web of Science Citation Count  Cited 10 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 47 times in Scopus Article | Citations
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Created: Wed, 15 Aug 2007, 06:26:34 EST