LAWS OF LARGE NUMBERS FOR CONTINUOUS BELIEF MEASURES ON COMPACT SPACES

DOI10.1142/S0218488509006212zbMath1195.28017arXiv0801.0976OpenAlexW2963499431MaRDI QIDQ5851774

Yann Rébillé

Publication date: 25 January 2010

Published in: International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.0976

zbMATH Keywords

strong law of large numbersmonotone set functionsChoquet's integral representation

Mathematics Subject Classification ID

Strong limit theorems (60F15) Fuzzy measure theory (28E10)

Related Items (3)

Laws of large numbers without additivity ⋮ Integral representation of belief measures on compact spaces ⋮ Contrasting Two Laws of Large Numbers from Possibility Theory and Imprecise Probability

Cites Work

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• A strong law of large numbers for capacities
• A Yosida-Hewitt decomposition for totally monotone games.
• The extreme points of the set of belief measures
• A Yosida-Hewitt decomposition for totally monotone set functions on locally compact \(\sigma \)-compact topological spaces
• Theory of capacities
• Subjective Probability and Expected Utility without Additivity
• Decomposition and Representation of Coalitional Games
• Integral representation of continuous comonotonically additive functionals
• Upper and Lower Probabilities Induced by a Multivalued Mapping

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