%0 Journal Article
%A Bustince, Humberto
%A De Baets, Bernard
%A Fernández, Javier
%A Mesiar, Radko 
%A Montero De Juan, Francisco Javier
%T A generalization of the migrativity property of aggregation functions
%D 2012
%@ 0020-0255
%U https://hdl.handle.net/20.500.14352/44585
%X 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.
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