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Author: Ronald R. Yager
Article title: Nonmonotonicity and Compatibility Relations in Belief Structures
Publ. type: Article
Volume: 5
Article No: 20
Language: English
Abstract [en]: We concern ourselves with the situation in which we use the Dempster-Shafer belief structure to provide a representation of a random variables in which our knowledge of the probability distribution is imprecise. We discuss the role of compatibility relations as a means of enabling inference about one variable, the secondary variable, based upon knowledge about another variable, the primary. We define monotonicity as a condition in which an increase in information about the primary variable in an inference should not 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.
Publisher: LINKÖPING University Electronic Press
Year: 2000
Available: 2000-12-21
No. of pages: 8
Series: LINKÖPING Electronic Articles in Computer and Information Science
ISSN: 1401-9841
Note: First posting 1999-04-06 in ETAI Newsletter and Decision and Reasoning under Uncertainty


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