Title
From Conditional Events to Conditional Measures: A New Axiomatic Approach
Abstract
Our starting point is a definition of conditional event iE|iH which differs from many seemingly “similar” ones adopted in the relevant literature since 1935, starting with de Finetti. In fact, if we do not assign the same “third” value iu (“undetermined”) to iall conditional events, but make it depend on iE|iH, it turns out that this function it(iE|iH) can be taken as a general conditional uncertainty measure, and we get (through a suitable – in a sense, “compulsory” – choice of the relevant operations among conditional events) the “natural” axioms for many different (besides probability) conditional measures.
Year
DOI
Venue
2001
10.1023/A:1016786121626
Ann. Math. Artif. Intell.
Keywords
Field
DocType
uncertainty measures,conditional events,conditioning
Discrete mathematics,Conditional variance,Axiomatic system,Conditional probability distribution,Axiom,Conditioning,Regular conditional probability,Conditional dependence,Mathematics
Journal
Volume
Issue
ISSN
32
1-4
1573-7470
Citations 
PageRank 
References 
34
3.15
5
Authors
2
Name
Order
Citations
PageRank
Giulianella Coletti157271.49
Romano Scozzafava236748.05