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An integral representation for decomposable measures of measurable functions

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Publication:1323550
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DOI10.1007/BF01832963zbMath0796.28015MaRDI QIDQ1323550

Erich Peter Klement, Siegfried Weber

Publication date: 4 July 1994

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137585


zbMATH Keywords

integral representationmeasurable functionsdecomposable measuresArchimedean \(t\)-conormMarkov-kernelRadon-Nikodým type theorem


Mathematics Subject Classification ID

Fuzzy measure theory (28E10)


Related Items (4)

On the property of \(T\)-distributivity ⋮ Order-equivalent triangular norms ⋮ Some mathematical aspects of fuzzy sets: Triangular norms, fuzzy logics, and generalized measures ⋮ Generalized measures



Cites Work

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  • Fuzzy measures assuming their values in the set of fuzzy numbers
  • Conditional measures based on Archimedean semigroups
  • Characterization of finite fuzzy measures using Markoff-kernels
  • \(\perp\)-decomposable measures and integrals for Archimedean t-conorms \(\perp\)
  • Values of Non-Atomic Games
  • Ma\e auf unscharfen Mengen
  • Fuzzy sets


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