کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
394413 | 665801 | 2012 | 10 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: A generalization of the migrativity property of aggregation functions A generalization of the migrativity property of aggregation functions](/preview/png/394413.png)
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 α-migrativity property of Durante and Sarkoci for all values of α instead of a single one. Replacing the algebraic product by an arbitrary aggregation function B naturally leads to the properties of α–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.
Journal: Information Sciences - Volume 191, 15 May 2012, Pages 76–85