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| Files: | Description | Format |
| Fulltext | PDF (requires Acrobat Reader) | |
| Abstract | PostScript (requires a PostScript Reader) | |
| 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 | |