RT Journal Article
T1 A generalization of the migrativity property of aggregation functions
A1 Bustince, H.
A1 De Baets, B.
A1 Fernande, J.
A1 Mesiar, R.
A1 Montero, 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
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NO Government of Spain
NO APVV
NO MSM VZ
DS Docta Complutense
RD 6 may 2024