RT Journal Article
T1 A generalization of the migrativity property of aggregation functions
A1 Bustince, Humberto
A1 De Baets, Bernard
A1 Fernández, Javier
A1 Mesiar, Radko
A1 Montero De Juan, Francisco Javier
AB This paper brings a generalization of the migrativity property of aggregation functions, suggested in earlier work of some of the present authors by imposing the a-migrativity property of Durante and Sarkoci for all values of a instead of a single one. Replacing the algebraic product by an arbitrary aggregation function B naturally leads to the properties of a–B-migrativity and B-migrativity. This generalization establishes a link between migrativity and a particular case of Aczel’s general associativity equation, already considered by Cutello and Montero as a recursive formula for aggregation. Following a basic investigation, emphasis is put on aggregation functions that can be represented in terms of an additive generator, more specifically, strict t-norms, strict t-conorms and representable uninorms.
PB Elsevier  Science Inc
SN 0020-0255
YR 2012
FD 2012
LK https://hdl.handle.net/20.500.14352/44585
UL https://hdl.handle.net/20.500.14352/44585
LA eng
NO Bustince, H., De Baets, B., Fernandez, J., Mesiar, R., Montero, J.: A generalization of the migrativity property of aggregation functions. Information Sciences. 191, 76-85 (2012). https://doi.org/10.1016/j.ins.2011.12.019
NO Gobierno de España
DS Docta Complutense
RD 14 dic 2025