Article (Scientific journals)
Relaxations of associativity and preassociativity for variadic functions
Couceiro, Miguel; Marichal, Jean-Luc; Teheux, Bruno
2016In Fuzzy Sets and Systems, 299, p. 89-97
Peer Reviewed verified by ORBi
 

Files


Full Text
RelaxationsAssociativityVariadicFunctions.pdf
Author postprint (102.32 kB)
Download
Full Text Parts
PV-RelaxationsAssociativityVariadicFunctions.pdf
Publisher postprint (290.29 kB)
Request a copy

All documents in ORBilu are protected by a user license.

Send to



Details



Keywords :
Associativity; Preassociativity; Variadic function; String function; Functional equation; Axiomatization
Abstract :
[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.
Disciplines :
Computer science
Mathematics
Author, co-author :
Couceiro, Miguel;  Université de Lorraine, Nancy, France > LORIA (CNRS - Inria Nancy Grand Est)
Marichal, Jean-Luc ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Teheux, Bruno ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
External co-authors :
yes
Language :
English
Title :
Relaxations of associativity and preassociativity for variadic functions
Publication date :
15 September 2016
Journal title :
Fuzzy Sets and Systems
ISSN :
0165-0114
eISSN :
1872-6801
Publisher :
Elsevier Science, Amsterdam, Netherlands
Special issue title :
Aggregation Functions
Volume :
299
Pages :
89-97
Peer reviewed :
Peer Reviewed verified by ORBi
Focus Area :
Computational Sciences
Name of the research project :
R-AGR-0500-1 > MRO3 > 01/03/2015 - 31/03/2018 > MARICHAL Jean-Luc
Funders :
University of Luxembourg - UL
Available on ORBilu :
since 06 December 2015

Statistics


Number of views
141 (26 by Unilu)
Number of downloads
129 (8 by Unilu)

Scopus citations®
 
0
Scopus citations®
without self-citations
0
OpenCitations
 
0
WoS citations
 
0

Bibliography


Similar publications



Contact ORBilu