A random set description of a possibility measure and its natural extension

被引：27

作者：

de Cooman, G ^{[1
]}

Aeyels, D ^{[1
]}

机构：

[1] State Univ Ghent, Syst Res Grp, B-9052 Zwijnaarde, Belgium

来源：

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART A-SYSTEMS AND HUMANS | 2000年 / 30卷 / 02期

关键词：

coherence; natural extension; possibility measure; random sets; upper prevision; upper probability;

D O I：

10.1109/3468.833093

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

The relationship is studied between possibility and necessity measures defined on arbitrary spaces, the theory of imprecise probabilities, and elementary random set theory. It is shown how special random sets can be used to generate normal possibility and necessity measures, as well as their natural extensions. This leads to interesting alternative formulas for the calculation of these natural extensions.

引用

页码：124 / 130

页数：7

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