The symmetric Choquet integral with respect to Riesz-space-valued capacities

DOI10.1007/s10587-008-0017-8zbMath1174.28012OpenAlexW2002868368MaRDI QIDQ3624884

Antonio Boccuto, Beloslav Riečan

Publication date: 6 May 2009

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/31211

zbMATH Keywords

integrationcapacitiesRiesz spacessymmetric Choquet integralmonotone and dominated convergence theorems

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05)

Related Items (1)

The concave integral with respect to Riesz space-valued capacities

Cites Work

• Dominance conditions in non-additive expected utility theory
• The axioms and algebra of ambiguity
• Non-additive measure and integral
• Additive representations of non-additive measures and the Choquet integral
• Comparison between different types of abstract integrals in Riesz spaces
• On the De Giorgi-Letta integral with respect to means with values in Riesz spaces
• Lattice-valued fuzzy measure and lattice-valued fuzzy integral
• Fuzzy measures and integrals. Theory and applications
• On Order-Preserving Integration
• CHOQUET INTEGRAL MODELS AND INDEPENDENCE CONCEPTS IN MULTIATTRIBUTE UTILITY THEORY
• Stochastic dominance with nonadditive probabilities
• Integral Representation Without Additivity
• Unique Representation of Archimedean Lattice Groups and Normal Archimedean Lattice Rings
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