2026-08-20T15:36:43Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/422822024-11-26T14:47:52Zcom_20.500.14352_14col_20.500.14352_15

Migrativity of aggregation functions. Bustince, Humberto Montero De Juan, Francisco Javier Mesiar, Radko 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. 2023-06-20T00:15:28Z 2023-06-20T00:15:28Z 2009 journal article Bustince, H., Montero, J., Mesiar, R.: Migrativity of aggregation functions. Fuzzy Sets and Systems. 160, 766-777 (2009). https://doi.org/10.1016/j.fss.2008.09.018 0165-0114 10.1016/j.fss.2008.09.018 https://hdl.handle.net/20.500.14352/42282 https//doi.org/10.1016/j.fss.2008.09.018 http://www.sciencedirect.com/science/article/pii/S0165011408004600 http://www.sciencedirect.com/science/journal/01650114 eng TIN2006-06190 TIN2007-65981 APVV-0375-06 VEGA1/4209/07 402/08/0618. restricted access Elsevier Science Bv