GENERALIZED COMONOTONICALLY ADDITIVE OPERATORS: REPRESENTATIONS BY CHOQUET INTEGRALS

DOI10.1142/S021848850200151XzbMath1061.28007OpenAlexW1975092612MaRDI QIDQ4824619

Heinz J. Skala

Publication date: 1 November 2004

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

Full work available at URL: https://doi.org/10.1142/s021848850200151x

zbMATH Keywords

Riesz spaceBochner integralcomonotone additive operatorgeneralized Choquet integral

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Fuzzy measure theory (28E10)

Cites Work

• Expected utility with purely subjective non-additive probabilities
• Choquet-like integrals
• Theory of capacities
• Subjective Probability and Expected Utility without Additivity
• The riesz decomposition for vector-valued amarts
• Uniform amarts: A class of asymptotic martingales for which strong almost sure convergence obtains
• Comonotonic additive operators and their representations
• On the characterization of certain similarly ordered super-additive functionals
• A note on comonotonic additivity
• Martingale Convergence and the Radon-Nikodym Theorem in Banach Spaces.
• Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)

This page was built for publication: GENERALIZED COMONOTONICALLY ADDITIVE OPERATORS: REPRESENTATIONS BY CHOQUET INTEGRALS