A Comparison of Two Interval-valued Probabilistic Reasoning Methods
Yiyu Y. Yao · 2006
Abstract Two complementary interval-valued probabilistic reasoning approaches, the incidence calculus proposed by Bundy and the cautious probabilistic reasoning method suggested by Quinlan, are analyzed and compared in this study. The correspondences are drawn between the sets of inference axioms employed by each model. In incidence calculus, the set of inference axioms produces the tightest probability bounds. In contrast, Quinlan’s axioms do not necessarily generate the tightest probability bounds. Based on the results of such an comparison, Quinlan’s axioms may be refined to produce tighter probability bounds. 1