Some new results on Dieudonné-type theorems for \(k\)-triangular lattice group-valued set functions

DOI10.1007/S40574-020-00227-8zbMath1457.28012OpenAlexW3026498618MaRDI QIDQ2227251

Antonio Boccuto

Publication date: 15 February 2021

Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40574-020-00227-8

zbMATH Keywords

disjoint variationBrooks-Jewett theoremDieudonné theoremlattice group\(k\)-triangular set function

Mathematics Subject Classification ID

Fuzzy measure theory (28E10) Set functions, measures and integrals with values in ordered spaces (28B15)

Cites Work

• Uniform \((s)\)-boundedness and regularity for \((l)\)-group-valued measures
• Dieudonné-type theorems for set functions with values in \((l)\)-groups.
• Intuitionistic fuzzy sets. Theory and applications
• A special class of fuzzy measures: Choquet integral and applications
• Atomicity related to non-additive integrability
• Generalized Measure Theory
• The Choquet integral with respect to fuzzy measures and applications
• Some properties of the variations of non-additive set functions. I
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