A generalization of the migrativity property of aggregation functions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F12%3AA12012P5" target="_blank" >RIV/61988987:17610/12:A12012P5 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
A generalization of the migrativity property of aggregation functions
Original language description
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.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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