| Title: | Nonmonotonicity and Compatibility Relations in Belief Structures. |
| Authors: | R. R. Yager |
| Series: | Linköping Electronic Articles in Computer and Information Science ISSN 1401-9841 |
| Issue: | Vol. 5 (2000): nr 020 |
| URL: | http://www.ep.liu.se/ea/cis/2000/020/ |
| Abstract: | 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. |
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| First posting 1999-04-06 | In ETAI Newsletter and Decision and Reasoning under Uncertainty |
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Original publication 2000-12-21 |
Postscript part I --
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