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New trends on the permutability equation

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Abstract

We study several functional equations, in two variables, that are closely related to the functional equation of permutability. We analyze the hierarchy among these equations, paying a particular attention to their use in Fuzzy Set Theory.

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Authors and Affiliations

  1. Departamento de Automática y Computación, Universidad Pública de Navarra, Campus Arrosadía, 31006, Pamplona, Spain

    H. Bustince & F. J. Fernández

  2. Departamento de Matemáticas, Universidad Pública de Navarra, Campus Arrosadía, 31006, Pamplona, Spain

    M. J. Campión & E. Induráin

  3. Departamento de Estadística e Investigación Operativa, Universidad Pública de Navarra, Campus Arrosadía, 31006, Pamplona, Spain

    M. D. Ugarte

Authors
  1. H. Bustince
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  2. M. J. Campión
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  3. F. J. Fernández
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  4. E. Induráin
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  5. M. D. Ugarte
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Corresponding author

Correspondence to E. Induráin.

Additional information

This work has been supported by the research projects TIN2010-15055, MTM2011-22664 and MTM2012-37894-C02-02 (Spain).

Thanks are given to Prof. Dr. Jean-Claude Falmagne (Irvine CA, U.S.A.), Prof. Dr. Jean-Luc Marichal (Luxembourg) and Prof. Dr. Radko Mesiar (Bratislava, Slovakia) for their valuable comments and suggestions on several points of the manuscript.

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Bustince, H., Campión, M.J., Fernández, F.J. et al. New trends on the permutability equation. Aequat. Math. 88, 211–232 (2014). https://doi.org/10.1007/s00010-013-0225-7

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  • DOI: https://doi.org/10.1007/s00010-013-0225-7

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