Extreme lower probabilities

被引：11
|
作者：
Quaeghebeur, Erik [1 ]
de Cooman, Gert [1 ]
机构：
[1] Univ Ghent, EESA Dept, SYSTeMS Res Grp, B-9052 Zwijnaarde, Belgium
来源：
FUZZY SETS AND SYSTEMS | 2008年 / 159卷 / 16期
关键词：
lower probabilities; extreme points; imprecise probabilities; non-additive measures; combinatorial problems;
D O I：
10.1016/j.fss.2007.11.020
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
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. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：2163 / 2175
页数：13
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