Article ID Journal Published Year Pages File Type
397567 International Journal of Approximate Reasoning 2007 19 Pages PDF
Abstract

Every coherent probability (= F-probability) F on a finite sample space Ωk with k elements defines a set of classical probabilities in accordance with the interval limits. This set, called “structure” of F, is a convex polytope having dimension ⩽ k − 1. We prove that the maximal number of extreme points of structures is exactly k!.

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Physical Sciences and Engineering Computer Science Artificial Intelligence