Independence and convergence in non-additive settings

Independence and convergence in non-additive settings

Some properties of convergence for archimedean t -conorms and t -norms are investigated and a definition of independence for events, evaluated by a decomposable measure, is introduced. This definition generalizes the concept of independence provided by Kruse and Qiang for λ-additive fuzzy measures....

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Veröffentlicht in:Fuzzy optimization and decision making 2009-03, Vol.8 (1), p.29-43
Hauptverfasser: Cavallo, B., D’Apuzzo, L., Squillante, M.
Format: Artikel
Sprache:eng
Schlagworte:
Artificial Intelligence
Calculus of Variations and Optimal Control
Optimization
Convergence
Fuzzy logic
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Norms
Operations Research/Decision Theory
Optimization
Optimization algorithms
Probability Theory and Stochastic Processes
Studies
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Beschreibung
Zusammenfassung:Some properties of convergence for archimedean t -conorms and t -norms are investigated and a definition of independence for events, evaluated by a decomposable measure, is introduced. This definition generalizes the concept of independence provided by Kruse and Qiang for λ-additive fuzzy measures. Finally, we derive the two Borel–Cantelli lemmas in the context of the general framework considered.
ISSN:1568-4539
1573-2908
DOI:10.1007/s10700-009-9050-9