%0 Journal Article
%A Bustince, Humberto
%A Montero De Juan, Francisco Javier
%A Mesiar, Radko
%T Migrativity of aggregation functions.
%D 2009
%@ 0165-0114
%U https://hdl.handle.net/20.500.14352/42282
%X 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 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.
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