Reference : Relaxations of associativity and preassociativity for variadic functions
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Engineering, computing & technology : Computer science
Computational Sciences
http://hdl.handle.net/10993/22784
Relaxations of associativity and preassociativity for variadic functions
English
Couceiro, Miguel mailto [Université de Lorraine, Nancy, France > LORIA (CNRS - Inria Nancy Grand Est)]
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 >]
15-Sep-2016
Fuzzy Sets & Systems
Elsevier Science
299
Aggregation Functions
89-97
Yes (verified by ORBilu)
International
0165-0114
Amsterdam
The Netherlands
[en] Associativity ; Preassociativity ; Variadic function ; String function ; Functional equation ; Axiomatization
[en] In this paper we consider two properties of variadic functions, namely associativity and preassociativity, that are pertaining to several data and language processing tasks. We propose parameterized relaxations of these properties and provide their descriptions in terms of factorization results. We also give an example where these parameterized notions give rise to natural hierarchies of functions and indicate their potential use in measuring the degrees of associativeness and preassociativeness. We illustrate these results by several examples and constructions and discuss some open problems that lead to further directions of research.
University of Luxembourg - UL
F1R-MTH-PUL-15MRO3 > MRO3 > 01/03/2015 - 31/03/2018 > MARICHAL Jean-Luc
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/22784
10.1016/j.fss.2015.11.003
http://arxiv.org/abs/1508.03310

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