A SUPER RADON-NIKODYM DERIVATIVE FOR ALMOST SUBADDITIVE SET FUNCTIONS

DOI10.1142/S0218488513500189zbMath1326.28015MaRDI QIDQ3449251

Yann Rébillé

Publication date: 4 November 2015

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

zbMATH Keywords

Choquet integralRadon-Nikodym derivativesubadditive set function

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Fuzzy measure theory (28E10)

Related Items (4)

On the \(f\)-divergence for non-additive measures ⋮ Entropy for non-additive measures in continuous domains ⋮ On the \(f\)-divergence for discrete non-additive measures ⋮ Nonadditive measures and nonlinear integrals —focusing on a theoretical aspect—

Cites Work

• A Radon-Nikodym approach to measure information
• The value of information -- an axiomatic approach
• Separation properties and exact Radon-Nikodým derivatives for bounded finitely additive measures
• Monotone set functions defined by Choquet integral
• Sequentially continuous non-monotonic Choquet integrals
• Theory of capacities
• On Capacity Functionals in Interval Probabilities
• Local Radon-Nikodym Derivatives of Set Functions
• Additivizations of Nonadditive Measures

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