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Problems on associative functions

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Summary.

We present a collection of open problems connected with the functional equation of associativity that have arisen in the course of various investigations in the theory of probabilistic metric spaces, statistical dependence, models for fuzzy logic and related topics.

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Authors and Affiliations

  1. Sec. Matemàtiques i Informàtica, ETSAB, Universitat Politècnica de Catalunya, Diagonal 649, 08028, Barcelona, Spain

    C. Alsina

  2. Dept. of Applied Mathematics, Illinois Institute of Technology, 60616, Chicago, IL, USA

    M. J. Frank

  3. Dept. of Mathematics and Statistics, University of Massachusetts, 01003, Amherst, MA, USA

    B. Schweizer

Authors
  1. C. Alsina
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  2. M. J. Frank
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  3. B. Schweizer
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Corresponding author

Correspondence to C. Alsina.

Additional information

Manuscript received: September 3, 2001 and, in final form, March 25, 2002

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Alsina, C., Frank, M.J. & Schweizer, B. Problems on associative functions . Aequat. Math. 66, 128–140 (2003). https://doi.org/10.1007/s00010-003-2673-y

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  • DOI: https://doi.org/10.1007/s00010-003-2673-y

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