The range of null-additive fuzzy and non-fuzzy measures

DOI10.1016/0165-0114(94)90251-8zbMath0844.28013OpenAlexW2088684626MaRDI QIDQ1915323

Endre Pap

Publication date: 3 September 1996

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

Full work available at URL: https://doi.org/10.1016/0165-0114(94)90251-8

zbMATH Keywords

atomDarboux propertyexhaustiveautocontinuous from above (below)Lyapunov's type theoremsnull-additive fuzzy and non-fuzzy measuresSaks decomposition type theorem

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items (21)

Atoms and Dobrakov submeasures in effect algebras ⋮ Atomicity related to non-additive integrability ⋮ On the equivalence of the Choquet, pan- and concave integrals on finite spaces ⋮ Lebesgue decomposition by \(\sigma\)-null-additive set functions using ideals ⋮ Atomicity via regularity for non-additive set multifunctions ⋮ Lebesgue and Saks decompositions of \(\sigma\)-finite fuzzy measures ⋮ Pseudo-atoms of fuzzy and non-fuzzy measures ⋮ Extended minimal atomicity through nondifferentiability: a mathematical-physical approach ⋮ Pseudo-atoms, atoms and a Jordan type decomposition in effect algebras ⋮ Weakly tight functions, their Jordan type decomposition and total variation in effect algebras ⋮ Relationship between the concave integrals and the pan-integrals on finite spaces ⋮ Atoms of weakly null-additive monotone measures and integrals ⋮ Convergence theorems for monotone measures ⋮ Yet another note on the range of null-additive fuzzy and non-fuzzy measures ⋮ The completion of a fuzzy measure and its applications ⋮ Unnamed Item ⋮ On the (M)-property of monotone measures and integrals on atoms ⋮ Nonadditive measures and nonlinear integrals —focusing on a theoretical aspect— ⋮ Lebesgue decomposition theorem for \(\sigma\)-finite signed fuzzy measures ⋮ On nonatomicity for non-additive functions ⋮ Regularity of fuzzy measures on complete and separable metric spaces

Cites Work

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• \(\perp\)-decomposable measures and integrals for Archimedean t-conorms \(\perp\)
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• Theory of capacities
• A CLASS OF FUZZY MEASURES BASED ON TRIANGULAR NORMS A general framework for the combination of uncertain information
• Values of Non-Atomic Games
• On the continuity of certain non-additive set functions
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