Bustince, HumbertoMontero De Juan, Francisco JavierMesiar, Radko2023-06-202023-06-202009Bustince, H., Montero, J., Mesiar, R.: Migrativity of aggregation functions. Fuzzy Sets and Systems. 160, 766-777 (2009). https://doi.org/10.1016/j.fss.2008.09.0180165-011410.1016/j.fss.2008.09.018https://hdl.handle.net/20.500.14352/42282We 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 are also characterized and the product is shown to be the only 1-Lipschitz migrative aggregation function. Similarly, it is the only associative migrative aggregation function possessing a neutral element. Finally, the associativity and bisymmetry of migrative aggregation functions are discussed.engjournal articlehttps//doi.org/10.1016/j.fss.2008.09.018http://www.sciencedirect.com/science/article/pii/S0165011408004600http://www.sciencedirect.com/science/journal/01650114restricted access004.8Aggregation functionsMigrativityAssociativityBisymmetryT-normsUninormsNullnormsInteligencia artificial (Informática)1203.04 Inteligencia Artificial