Title
Toward A General Theory Of Conditional Beliefs
Abstract
We consider a class of general decomposable measures of uncertainty, which encompasses (as its most specific elements, with respect to the properties of the rules of composition) probabilities, and (as its most general elements) belief functions. The aim, using this general context, is to introduce (in a direct way) the concept of conditional belief function as a conditional generalized decomposable measure phi(.vertical bar.), defined on a set of conditional events. Our main tool will be the following result, that we prove in the first part of the article and which is a sort of converse of a well-known result (i.e., a belief function is a lower probability): a coherent conditional lower probability (P) under bar(.vertical bar K) extending a coherent probability P(H-i)-where the events H(i)s are a partition of the certain event Omega and K is the union of some (possibly all) of them-is a belief function. (c) 2006 Wiley Periodicals, Inc.
Year
DOI
Venue
2006
10.1002/int.20133
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS
Field
DocType
Volume
Discrete mathematics,Conditional probability distribution,Conditional probability,Conditional event algebra,Posterior probability,Regular conditional probability,Conditional dependence,Conditional probability table,Mathematics,Law of total probability
Journal
21
Issue
ISSN
Citations 
3
0884-8173
17
PageRank 
References 
Authors
1.10
2
2
Name
Order
Citations
PageRank
Giulianella Coletti157271.49
Romano Scozzafava236748.05