CONVERGENCE THEOREMS FOR THE CHOQUET-PETTIS INTEGRAL

DOI10.11568/kjm.2014.22.2.383zbMath1474.26034OpenAlexW2048453780MaRDI QIDQ5217527

Chun-Kee Park

Publication date: 24 February 2020

Published in: Korean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11568/kjm.2014.22.2.383

zbMATH Keywords

Choquet integralfuzzy measureregular fuzzy measureChoquet-Pettis integral

Mathematics Subject Classification ID

Integration with respect to measures and other set functions (28A25) Vector-valued set functions, measures and integrals (28B05) Fuzzy measure theory (28E10) Denjoy and Perron integrals, other special integrals (26A39)

Related Items (1)

Probability inequalities for decomposition integrals

Cites Work

• An interpretation of fuzzy measures and the Choquet integral as an integral with respect to a fuzzy measure
• A theory of fuzzy measures: Representations, the Choquet integral, and null sets
• Autocontinuity, convergence in measure, and convergence in distribution
• Non-additive measure and integral
• Monotone set functions defined by Choquet integral
• Regular fuzzy measure and representation of comonotonically additive functional
• Set-valued Choquet integrals revisited
• Theory of capacities
• Unnamed Item

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