SET-VALUED CHOQUET-PETTIS INTEGRALS

DOI10.11568/kjm.2012.20.4.381OpenAlexW4244082730MaRDI QIDQ5887427

Chun-Kee Park

Publication date: 12 April 2023

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

Full work available at URL: https://doi.org/10.11568/kjm.2012.20.4.381

zbMATH Keywords

Choquet integralset-valued mappingChoquet-Pettis integral

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Vector-valued set functions, measures and integrals (28B05) Fuzzy measure theory (28E10) Denjoy and Perron integrals, other special integrals (26A39)

Related Items (4)

The general Pettis-Sugeno integral of vector multifunctions relative to a vector fuzzy multimeasure ⋮ Multivalued Functions Integration: from Additive to Arbitrary Non-negative Set Function ⋮ Multifunctions determined by integrable functions ⋮ Strong integral of multifunctions relative to a fuzzy measure

Cites Work

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• A theory of fuzzy measures: Representations, the Choquet integral, and null sets
• Some properties of Choquet integrals of set-valued functions
• Autocontinuity, convergence in measure, and convergence in distribution
• Non-additive measure and integral
• On the representation of Choquet integrals of set-valued functions and null sets
• Set-valued Choquet integrals revisited
• A decomposition theorem for compact-valued Henstock integral
• Set-valued Kurzweil-Henstock-Pettis integral
• Integrals of set-valued functions
• Theory of capacities
• On the Pettis integral of closed valued multifunctions

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