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

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2 Author(s)
de Cooman, G. ; SYSTeMS Res. Group, Ghent Univ., Belgium ; Aeyels, D.

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

Published in:

Systems, Man and Cybernetics, Part A: Systems and Humans, IEEE Transactions on  (Volume:30 ,  Issue: 2 )

Date of Publication:

Mar 2000

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