Reference : Preassociative aggregation functions
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Business & economic sciences : Quantitative methods in economics & management
http://hdl.handle.net/10993/18774
Preassociative aggregation functions
English
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Teheux, Bruno mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
1-Jun-2015
Fuzzy Sets & Systems
Elsevier Science
268
Theme: Aggregation operators
15-26
Yes (verified by ORBilu)
International
0165-0114
Amsterdam
The Netherlands
[en] Aggregation ; Associativity ; Preassociativity ; Functional equation ; Axiomatization
[en] The classical property of associativity is very often considered in aggregation function theory and fuzzy logic. In this paper we provide axiomatizations of various classes of preassociative functions, where preassociativity is a generalization of associativity recently introduced by the authors. These axiomatizations are based on existing characterizations of some noteworthy classes of associative operations, such as the class of Aczélian semigroups and the class of t-norms.
University of Luxembourg - UL
F1R-MTH-PUL-12RDO2 > MRDO2 > 01/02/2012 - 28/02/2015 > MARICHAL Jean-Luc
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/18774
10.1016/j.fss.2014.11.010
http://arxiv.org/abs/1405.3606

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Open access
PreassocativeAggregationFunctions.pdfAuthor postprint133.78 kBView/Open
Limited access
PV-PreassocativeAggregationFunctions.pdfPublisher postprint331.34 kBRequest a copy

Bookmark and Share SFX Query

All documents in ORBilu are protected by a user license.