Title
Nonmonotonicity and Compatibility Relations in Belief Structures
Abstract
The Dempster–Shafer belief structure provides a representation of a variable in which our knowledge of its probability distribution is imprecise. Here compatibility relations, which encode relationships between variables, enable inference about a consequent variable using knowledge about the input variable. Here we extend the capability of these compatibility relations to enable the representation of nonmonotonic relations, such as default rules. This allows situations in which an increase in information about the input variable can result in a decrease in information about the secondary variable. We show what are the conditions required of a compatibility relation to lead to monotonic and nonmonotonic inferences. We provide some examples of nonmonotonic relations.
Year
DOI
Venue
2002
10.1023/A:1014430023897
Ann. Math. Artif. Intell.
Keywords
Field
DocType
Neural Network,Probability Distribution,Artificial Intelligence,Complex System,Nonlinear Dynamics
Discrete mathematics,Monotonic function,Nonlinear system,Compatibility (mechanics),Inference,Belief structure,Probability distribution,Artificial intelligence,Artificial neural network,Mathematics,Machine learning
Journal
Volume
Issue
ISSN
34
1-3
1573-7470
Citations 
PageRank 
References 
0
0.34
4
Authors
1
Name
Order
Citations
PageRank
Ronald R. Yager1986206.03