Paper Info
Title
Conjunction and Disjunction Among Conditional Events.
Abstract
We generalize, in the setting of coherence, the notions of conjunction and disjunction of two conditional events to the case of n conditional events. Given a prevision assessment on the conjunction of two conditional events, we study the set of coherent extensions for the probabilities of the two conditional events. Then, we introduce by a progressive procedure the notions of conjunction and disjunction for n conditional events. Moreover, by defining the negation of conjunction and of disjunction, we show that De Morgan's Laws still hold. We also show that the associative and commutative properties are satisfied. Finally, we examine in detail the conjunction for a family F of three conditional events. To study coherence of prevision for the conjunction of the three conditional events, we need to consider the coherence for the prevision assessment on each conditional event and on the conjunction of each pair of conditional events in F.
Year
DOI
Venue
2017
10.1007/978-3-319-60045-1_11
ADVANCES IN ARTIFICIAL INTELLIGENCE: FROM THEORY TO PRACTICE (IEA/AIE 2017), PT II
Keywords
Field
DocType
Conditional events,Conditional random quantities,Conjunction,Disjunction,Negation,Quasi conjunction,Coherent prevision assessments,Coherent extensions,De Morgan's Laws
Associative property,Negation,Commutative property,Algebra,Algorithm,Coherence (physics),De Morgan's laws,Mathematics
Conference
Volume
ISSN
Citations 
10351
0302-9743
4
PageRank 
References 
Authors
0.41
8
2
Name
Order
Citations
PageRank
Angelo Gilio141942.04
Giuseppe Sanfilippo220417.14