Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6418720 | Journal of Mathematical Analysis and Applications | 2014 | 16 Pages |
Abstract
We investigate under which conditions a transformation of an imprecise probability model of a certain type (coherent lower previsions, n-monotone capacities, minitive measures) produces a model of the same type. We give a number of necessary and sufficient conditions, and study in detail a particular class of such transformations, called filter maps. These maps include as particular models multi-valued mappings as well as other models of interest within imprecise probability theory, and can be linked to filters of sets and {0,1}-valued lower probabilities.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Gert de Cooman, Enrique Miranda,