"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 ?-migrativity property of Durante and Sarkoci for all values of ? instead of a single one. Replacing the algebraic product by an arbitrary aggregation function B naturally leads to the properties of ?-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."@en . . "191" . "A generalization of the migrativity property of aggregation functions" . "Montero, Javier" . "Z(MSM6198898701)" . "Aggregation function; Migrativity; Associativity; Additive generator; t-Norm; Uninorm"@en . "RIV/61988987:17610/12:A12012P5!RIV12-MSM-17610___" . . "RIV/61988987:17610/12:A12012P5" . . "INFORM SCIENCES" . "A generalization of the migrativity property of aggregation functions"@en . . . . "Fernandez, Javier" . . "Bustince, Humberto" . "17610" . . "A generalization of the migrativity property of aggregation functions" . "1" . . "120232" . . "5"^^ . . "A generalization of the migrativity property of aggregation functions"@en . "Mesiar, Radko" . . "De Baets, Bernard" . "10"^^ . . . . . . "NL - Nizozemsko" . "0020-0255" . "[3345A5193B38]" . "1"^^ . . . "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 ?-migrativity property of Durante and Sarkoci for all values of ? instead of a single one. Replacing the algebraic product by an arbitrary aggregation function B naturally leads to the properties of ?-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." .