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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 |