Bustince, HumbertoDe Baets, BernardFernández, JavierMesiar, RadkoMontero De Juan, Francisco Javier2023-06-202023-06-202012Bustince, 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.2011.12.0190020-025510.1016/j.ins.2011.12.019https://hdl.handle.net/20.500.14352/44585This 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.engjournal articlehttps//doi.org/10.1016/j.ins.2011.12.019http://www.sciencedirect.com/science/article/pii/S0020025511006682restricted access519.8Aggregation functionMigrativityAssociativityAdditive generatort-NormUninormInvestigación operativa (Matemáticas)1207 Investigación Operativa