Extreme lower probabilities

被引：0

作者：

Quaeghebeur, Erik ^{[1
]}

de Cooman, Gert ^{[1
]}

机构：

[1] Univ Ghent, EESA Dept, SYSTeMS Res Grp, Technol Pk,Zwijnaarde 914, B-9052 Zwijnaarde, Belgium

来源：

SOFT METHODS FOR INTEGRATED UNCERTAINTY MODELLING | 2006年

关键词：

lower probabilities; extreme points; imprecise probabilities;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

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.

引用

页码：211 / +

页数：3

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