RT Journal Article
T1 Migrativity of aggregation functions.
A1 Bustince, Humberto
A1 Montero De Juan, Francisco Javier
A1 Mesiar, Radko
AB 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.
PB Elsevier Science Bv
SN 0165-0114
YR 2009
FD 2009
LK https://hdl.handle.net/20.500.14352/42282
UL https://hdl.handle.net/20.500.14352/42282
LA eng
NO 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
NO The Czech Science Foundation
DS Docta Complutense
RD 11 abr 2025