Extreme points of credal sets generated by 2-alternating capacities

DOI10.1016/S0888-613X(02)00149-4zbMath1029.68135MaRDI QIDQ1400223

D. Massart

Publication date: 13 August 2003

Published in: International Journal of Approximate Reasoning (Search for Journal in Brave)

zbMATH Keywords

Weak convergenceChoquet capacitiesPossibility measuresCredal setsLinear topological spacesUpper probabilities

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Contents, measures, outer measures, capacities (28A12) Reasoning under uncertainty in the context of artificial intelligence (68T37)

Related Items (19)

Geometry of possibility measures on finite sets ⋮ Unifying practical uncertainty representations. I. Generalized \(p\)-boxes ⋮ Random intervals as a model for imprecise information ⋮ On extreme points of p-boxes and belief functions ⋮ Centroids of the core of exact capacities: a comparative study ⋮ Independence and 2-monotonicity: nice to have, hard to keep ⋮ Errors bounds for finite approximations of coherent lower previsions on finite probability spaces ⋮ Independence and 2-Monotonicity: Nice to Have, Hard to Keep ⋮ A geometric and game-theoretic study of the conjunction of possibility measures ⋮ Upper and lower probabilities induced by a fuzzy random variable ⋮ Pari-mutuel probabilities as an uncertainty model ⋮ Mark-recapture techniques in statistical tests for imprecise data ⋮ Random sets as imprecise random variables ⋮ Approximations of upper and lower probabilities by measurable selections ⋮ Unifying parameter learning and modelling complex systems with epistemic uncertainty using probability interval ⋮ Random and fuzzy sets in coarse data analysis ⋮ Additivity of uncertainty measures on credal sets ⋮ Normal cones corresponding to credal sets of lower probabilities ⋮ Extreme points of the credal sets generated by comparative probabilities

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