Applications of circumscription to formalizing common-sense knowledge
Artificial Intelligence
Readings in nonmonotonic reasoning
Readings in nonmonotonic reasoning
Non-monotonic compatibility relations in the theory of evidence
International Journal of Man-Machine Studies
The dynamic of belief in the transferable belief model and specialization-generalization matrices
UAI '92 Proceedings of the eighth conference on Uncertainty in Artificial Intelligence
Artificial Intelligence
Advances in the Dempster-Shafer theory of evidence
Advances in the Dempster-Shafer theory of evidence
Classification of fuzzy measures
Fuzzy Sets and Systems
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A Dempster-Shafer belief structure provides a mechanism for representing uncertain knowledge about a variable. A compatibility relation provides a structure for obtaining information about one variable based upon our knowledge about a second variable. An inference scheme in the theory of evidence involves the use of a belief structure on one variable, called the antecedent, and a compatibility relationship to infer a belief structure on the second variable, called the consequent. The concept of monotonicity in this situation is related to change in the specificity of the consequent belief structure as the antecedent belief structure becomes more specific. We show that the usual compatibility relations, type 1, are always monotonic. We introduce type II compatibility relations and show that a special class of these, which we call irregular, are needed to represent nonmonotonic relations between variables. We discuss a special class of nonmonotonic relations called default relations.