The Choquet integral in Riesz space

DOI10.1016/j.fss.2007.09.013zbMath1179.28025OpenAlexW2089755641MaRDI QIDQ834501

Jun Kawabe

Publication date: 26 August 2009

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2007.09.013

zbMATH Keywords

Choquet integralRiemann-Stieltjes integralRiesz spacesnon-additive measure

Mathematics Subject Classification ID

Fuzzy measure theory (28E10) Set functions, measures and integrals with values in ordered spaces (28B15)

Related Items (7)

Choquet type \(L^{1}\)-spaces of a vector capacity ⋮ The continuity and compactness of Riesz space-valued indirect product measures ⋮ Regularities of Riesz space-valued non-additive measures with applications to convergence theorems for Choquet integrals ⋮ Vector valued information measures and integration with respect to fuzzy vector capacities ⋮ Generalization of inclusion-exclusion integral for nondiscrete monotone measure space ⋮ Nonadditive measures and nonlinear integrals —focusing on a theoretical aspect— ⋮ Abstract integration with respect to measures and applications to modular convergence in vector lattice setting

Cites Work

• The Egoroff theorem for non-additive measures in Riesz spaces
• The Egoroff property and the Egoroff theorem in Riesz space-valued non-additive measure theory
• On the De Giorgi-Letta integral with respect to means with values in Riesz spaces
• The measure extension problem for vector lattices
• Theory of capacities
• Stone-Algebra-Valued Measures and Integrals
• Measures with Values in a Partially Ordered Vector Space
• Measure and Integration
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