DocumentCode
1320469
Title
A random set description of a possibility measure and its natural extension
Author
De Cooman, Gert ; Aeyels, Dirk
Author_Institution
SYSTeMS Res. Group, Ghent Univ., Belgium
Volume
30
Issue
2
fYear
2000
fDate
3/1/2000 12:00:00 AM
Firstpage
124
Lastpage
130
Abstract
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
Keywords
possibility theory; probability; random processes; imprecise probabilities; necessity measures; possibility measure; random set description; random set theory; Books; Logic; Natural languages; Particle measurements; Power measurement; Set theory;
fLanguage
English
Journal_Title
Systems, Man and Cybernetics, Part A: Systems and Humans, IEEE Transactions on
Publisher
ieee
ISSN
1083-4427
Type
jour
DOI
10.1109/3468.833093
Filename
833093
Link To Document