Atoms of weakly null-additive monotone measures and integrals

DOI10.1016/j.ins.2013.09.013zbMath1321.28029OpenAlexW2071691897MaRDI QIDQ498028

Endre Pap, Radko Mesiar, Jun Li

Publication date: 25 September 2015

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ins.2013.09.013

zbMATH Keywords

regularityatomChoquet integralSugeno integralmonotone measureweak null-additivity

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Fuzzy measure theory (28E10) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

Related Items

Super quantum measures on effect algebras with the Riesz decomposition properties, Atomicity related to non-additive integrability, On the equivalence of the Choquet, pan- and concave integrals on finite spaces, Atomicity via regularity for non-additive set multifunctions, Extended minimal atomicity through nondifferentiability: a mathematical-physical approach, Relationship between the concave integrals and the pan-integrals on finite spaces, Regularity aspects of non-additive set multifunctions, Atoms of monotone set-valued measures and integrals, Convergence theorems for monotone measures, On the equality of integrals, On the (M)-property of monotone measures and integrals on atoms, A special class of fuzzy measures: Choquet integral and applications, Coincidences of the concave integral and the pan-integral, Approximation of fuzzy neural networks based on Choquet integral, Regularity of fuzzy measures on complete and separable metric spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lusin's theorem on monotone measure spaces
• Continuity and compactness of the indirect product of two non-additive measures
• Atoms of fuzzy measures and fuzzy integrals
• Non-additive measure and integral
• Fuzzy measures on metric spaces
• Regular non-additive measure and Choquet integral
• Order continuous of monotone set function and convergence of measurable functions sequence
• Choquet-like integrals
• On the regularity of the fuzzy measure on metric fuzzy measure spaces
• The range of null-additive fuzzy and non-fuzzy measures
• Lebesgue and Saks decompositions of \(\sigma\)-finite fuzzy measures
• Regularities of Riesz space-valued non-additive measures with applications to convergence theorems for Choquet integrals
• Fuzzy integrals and linearity
• The Alexandroff theorem for Riesz space-valued non-additive measures
• Relationship among continuity conditions and null-additivity conditions in non-additive measure theory
• Generalized Measure Theory