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Statements

Subject Item
n2:RIV%2F61988987%3A17610%2F12%3AA12012P5%21RIV12-MSM-17610___
rdf:type
n13:Vysledek skos:Concept
dcterms: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. 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.
dcterms:title
A generalization of the migrativity property of aggregation functions A generalization of the migrativity property of aggregation functions
skos:prefLabel
A generalization of the migrativity property of aggregation functions A generalization of the migrativity property of aggregation functions
skos:notation
RIV/61988987:17610/12:A12012P5!RIV12-MSM-17610___
n13:predkladatel
n14:orjk%3A17610
n4:aktivita
n17:Z
n4:aktivity
Z(MSM6198898701)
n4:cisloPeriodika
1
n4:dodaniDat
n8:2012
n4:domaciTvurceVysledku
n7:8494282
n4:druhVysledku
n10:J
n4:duvernostUdaju
n15:S
n4:entitaPredkladatele
n19:predkladatel
n4:idSjednocenehoVysledku
120232
n4:idVysledku
RIV/61988987:17610/12:A12012P5
n4:jazykVysledku
n18:eng
n4:klicovaSlova
Aggregation function; Migrativity; Associativity; Additive generator; t-Norm; Uninorm
n4:klicoveSlovo
n5:Additive%20generator n5:Aggregation%20function n5:Uninorm n5:Associativity n5:t-Norm n5:Migrativity
n4:kodStatuVydavatele
NL - Nizozemsko
n4:kontrolniKodProRIV
[3345A5193B38]
n4:nazevZdroje
INFORM SCIENCES
n4:obor
n11:BA
n4:pocetDomacichTvurcuVysledku
1
n4:pocetTvurcuVysledku
5
n4:rokUplatneniVysledku
n8:2012
n4:svazekPeriodika
191
n4:tvurceVysledku
Montero, Javier Fernandez, Javier Bustince, Humberto Mesiar, Radko De Baets, Bernard
n4:zamer
n9:MSM6198898701
s:issn
0020-0255
s:numberOfPages
10
n12:organizacniJednotka
17610