Article ID Journal Published Year Pages File Type
390958 Fuzzy Sets and Systems 2008 13 Pages PDF
Abstract

We consider lower probabilities on finite possibility spaces as models for the uncertainty about the state. These generalizations of classical probabilities can have some interesting properties; for example: k-monotonicity, avoiding sure loss, coherence, permutation invariance. The sets formed by all the lower probabilities satisfying zero or more of these properties are convex. We show how the extreme points and rays of these sets—the extreme lower probabilities—can be calculated and we give an illustration of our results.

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Physical Sciences and Engineering Computer Science Artificial Intelligence