Title
Coherent Conditional Probability as a Measure of Information of the Relevant Conditioning Events
Abstract
We go on with our study of a coherent conditional probability looked on as a general non-additive "uncertainty" measure phi((.)) = P(E\(.)) of the conditioning events. In particular, we proved in [6] (see also the book [5]) that phi can be interpreted as a possibility measure. In a previous paper [7] we gave a relevant characterization, showing that phi is a capacity if and only if it is a possibility. In this paper we give a characterization of phi as an (antimonotone) information measure in the sense of Kampe de Feriet and Forte.
Year
DOI
Venue
2003
10.1007/978-3-540-45231-7_12
ADVANCES IN INTELLIGENT DATA ANALYSIS V
Keywords
Field
DocType
artificial intelligence,conditional probability,probability measure,uncertainty,conditioning
T-norm,Discrete mathematics,Conditional probability,Probability measure,Duality (optimization),Regular conditional probability,If and only if,Boolean algebra,Conditional mutual information,Mathematics
Conference
Volume
ISSN
Citations 
2810
0302-9743
9
PageRank 
References 
Authors
1.00
6
2
Name
Order
Citations
PageRank
Giulianella Coletti157271.49
Romano Scozzafava236748.05