Probability-boxes, numerical possibility theory and belief functions have been suggested as useful tools to represent imprecise, vague or incomplete information. They are particularly appropriate in environment risk assessment where information is typically tainted with imprecision or incompleteness. Based on these notions, we present and compare four different methods to propagate objective and subjective uncertainties through multivariate functions. Lastly, we use these different techniques on an environmental real case of soil contamination by lead on an ironworks brownfield.
Keywords. Imprecise Probabilities, Possibility, Belief functions, Probability-Boxes, Dependency Bounds
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Authors addresses:
Cédric Baudrit
Institut de Recherche en Informatique de Toulouse
Université Paul Sabatier, 118 route de Narbonne 31062 Toulouse Cedex 4, France
Didier Dubois
Porte 308
IRIT, Université Paul Sabatier,
118 route de Narbonne,
31062, Toulouse, cedex 4, FRANCE.
E-mail addresses:
Cédric Baudrit | baudrit@irit.fr |
Didier Dubois | dubois@irit.fr |