Migrativity of aggregation functions

@article{Bustince2009MigrativityOA,
  title={Migrativity of aggregation functions},
  author={Humberto Bustince and Javier Montero and Radko Mesiar},
  journal={Fuzzy Sets and Systems},
  year={2009},
  volume={160},
  pages={766-777}
}
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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