Collection integral vs. Choquet integral

DOI10.1016/j.fss.2020.08.016zbMath1467.28019OpenAlexW3081769788MaRDI QIDQ2048764

Adam Šeliga, Peter Smrek

Publication date: 23 August 2021

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

Full work available at URL: https://doi.org/10.1016/j.fss.2020.08.016

zbMATH Keywords

Choquet integralintegral inequalitiescollection integrals

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items (4)

A note on the coincidence of decomposition integrals and superdecomposition integrals ⋮ Characterization of decomposition integrals extending Lebesgue integral ⋮ Collection integral on infinite spaces ⋮ Collection and decomposition integrals in multicriteria-decision support

Cites Work

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• Chebyshev type inequality for Choquet integral and comonotonicity
• A new integral for capacities
• Integrals based on monotone set functions
• Decomposition integrals
• A Jensen type inequality for fuzzy integrals
• Some inequalities and convergence theorems for Choquet integrals
• Decomposition-integral: unifying Choquet and the concave integrals
• Theory of capacities
• A Note on Decomposition Integrals
• Generalized Measure Theory
• Subjective Probability and Expected Utility without Additivity
• Integral Representation Without Additivity

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