Migrativity of aggregation functions

  title={Migrativity of aggregation functions},
  author={Humberto Bustince and Javier Montero and Radko Mesiar},
  journal={Fuzzy Sets and Systems},
In this paper we introduce a slight modification of the definition of migrativity for aggregation functions that allows useful characterization of this property. Among other things, in this context we prove that there are no t-conorms, uninorms or nullnorms that satisfy migrativity (with the product being the only migrative t-norm, as already shown by other authors) and that the only migrative idempotent aggregation function is the geometric mean. The k-Lipschitz migrative aggregation functions… CONTINUE READING

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Fuzzy information representation for decision aiding

  • J. Montero, D. Gómez, S. Muñoz
  • in: Proc. of the IPMU Conference, Málaga, Spain…
  • 2008
1 Excerpt


  • G. Beliakov, A. Pradera
  • Calvo (Eds.), Aggregation Functions: A Guide for…
  • 2007
1 Excerpt

The role of fuzziness in decision making

  • J. Montero, V. López, D. Gómez
  • in: D. Ruan et al. (Eds.), Fuzzy Logic: A…
  • 2007
1 Excerpt

Associative Functions: Triangular Norms and Copulas

  • C. Alsina, M. J. Frank, B. Schweizer
  • World Scientific, Hackensack, NJ
  • 2006
3 Excerpts


  • H. Bustince, P. Burillo, F. Soria
  • negations and implication operators, Fuzzy Sets…
  • 2003
1 Excerpt

Aggregation operators: properties

  • T. Calvo, A. Kolesárová, M. Komorníková, R. Mesiar
  • classes and construction methods, in: T. Calvo, G…
  • 2002
1 Excerpt

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