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Independence and convergence in non-additive settings

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Abstract

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.

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Authors and Affiliations

  1. SEA – University of Sannio, via Nazionale delle Puglie 82, 82100, Benevento, Italy

    B. Cavallo & M. Squillante

  2. University of Napoli, via Monteoliveto 3, 80134, Napoli, Italy

    L. D’Apuzzo

Authors
  1. B. Cavallo
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  2. L. D’Apuzzo
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  3. M. Squillante
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Correspondence to B. Cavallo.

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Cavallo, B., D’Apuzzo, L. & Squillante, M. Independence and convergence in non-additive settings. Fuzzy Optim Decis Making 8, 29–43 (2009). https://doi.org/10.1007/s10700-009-9050-9

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  • DOI: https://doi.org/10.1007/s10700-009-9050-9

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