Title
Probabilistic Reasoning as a General Unifying Tool
Abstract
Our starting point is the approach to probabilistic logic through coherence; but we give up de Finetti's idea of a conditional event E\H being a 3-valued entity, with the third value being just an undetermined common value for all ordered pairs (E,H). We let instead the "third" value of E\H suitably depend on the given pair. In this way we get, through a direct assignment of conditional probability, a general theory of probabilistic reasoning able to encompass other approaches to uncertain reasoning, such as fuzziness and default reasoning. We are also able to put forward a meaningful concept of conditional independence, which avoids many of the usual inconsistencies related to logical dependence. We give an example in which we put together different kinds of information and show how coherent conditional probability can act as a unifying tool.
Year
DOI
Venue
2001
10.1007/3-540-44652-4_12
ECSQARU
Keywords
Field
DocType
coherent conditional probability,uncertain reasoning,undetermined common value,general unifying tool,conditional independence,default reasoning,conditional probability,probabilistic reasoning,different kind,conditional event e,3-valued entity,probabilistic logic,common value
Conditional probability,Computer science,Conditional independence,Expert system,Ordered pair,Coherence (physics),Common value auction,Artificial intelligence,Probabilistic logic,Belief revision,Machine learning
Conference
ISBN
Citations 
PageRank 
3-540-42464-4
9
1.29
References 
Authors
12
3
Name
Order
Citations
PageRank
Giulianella Coletti157271.49
Romano Scozzafava236748.05
Barbara Vantaggi342246.32