Relationship between the concave integrals and the pan-integrals on finite spaces

DOI10.1016/j.jmaa.2014.11.058zbMath1309.28014OpenAlexW2113603731MaRDI QIDQ482739

Radko Mesiar, Yao Ouyang, Jun Li

Publication date: 6 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.11.058

zbMATH Keywords

monotone measureconcave integralminimal atomminimal atoms disjointness propertypan-integral

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items (16)

On the equivalence of the Choquet, pan- and concave integrals on finite spaces ⋮ A new class of decomposition integrals on finite spaces ⋮ A note on the coincidence of decomposition integrals and superdecomposition integrals ⋮ On linearity of pan-integral and pan-integrable functions space ⋮ A further investigation of convex integrals based on monotone measures ⋮ Extended minimal atomicity through nondifferentiability: a mathematical-physical approach ⋮ Integrals based on monotone set functions ⋮ On the equivalence of the Choquet integral and the pan-integrals from above ⋮ Several inequalities for the pan-integral ⋮ Relationship between two types of superdecomposition integrals on finite spaces ⋮ On the equality of integrals ⋮ On the (M)-property of monotone measures and integrals on atoms ⋮ SUPER- AND SUB-ADDITIVE ENVELOPES OF AGGREGATION FUNCTIONS: INTERPLAY BETWEEN LOCAL AND GLOBAL PROPERTIES, AND APPROXIMATION ⋮ A sufficient condition of equivalence of the Choquet and the pan-integral ⋮ Coincidences of the concave integral and the pan-integral ⋮ Coincidences of nonlinear integrals related to ordered pair of non-additive measures

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