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
fDate :
3/1/2000 12:00:00 AM
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;
Journal_Title :
Systems, Man and Cybernetics, Part A: Systems and Humans, IEEE Transactions on
DOI :
10.1109/3468.833093
