Fuzzy Optimization and Decision Making

, Volume 8, Issue 1, pp 29–43

Independence and convergence in non-additive settings


DOI: 10.1007/s10700-009-9050-9

Cite this article as:
Cavallo, B., D’Apuzzo, L. & Squillante, M. Fuzzy Optim Decis Making (2009) 8: 29. doi:10.1007/s10700-009-9050-9


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.


Borel–Cantelli \({\bot}\) -Decomposable measures Independence Conditionally distributive semirings 

Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.SEA – University of SannioBeneventoItaly
  2. 2.University of NapoliNapoliItaly

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