Reference : Median Preserving Aggregation Functions

	Document type :	Scientific congresses, symposiums and conference proceedings : Paper published in a book
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/21731

Title :	Median Preserving Aggregation Functions
Language :	English
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 >]
Publication date :	Jul-2015
Main document title :	Proceedings of the 8th Int. Summer School on Aggregation Operators
Editor :	Baczyński, Michal
	De Baets, Bernard
	Mesiar, Radko
Publisher :	Uniersity of Silesia
Pages :	85-89
Peer reviewed :	Yes
On invitation :	No
Audience :	International
ISBN :	978-83-8012-519-3
City :	Katowice
Country :	Poland
Event name :	Proc. 8th Int. Summer School on Aggregation Operators and their Applications (AGOP 2015)
Event date :	from 07-07-2015 to 10-07-2015
Event organizer :	Michał Baczyński (chair)
	Bernard De Baets (chair)
	Radko Mesiar (chair)
Event place (city) :	University of Silesia, Katowice
Event country :	Poland
Keywords :	[en] Median algebras ; Aggregation Functions ; Distributive lattices
Abstract :	[en] A median algebra is a ternary algebra that satisfies every equation satisfied by the median terms of distributive lattices. We present a characterization theorem for aggregation functions over conservative median algebras. In doing so, we give a characterization of conservative median algebras by means of forbidden substructures and by providing their representation as chains.
Funders :	University of Luxembourg - UL
Name of the research project :	F1R-MTH-PUL-15MRO3 > MRO3 > 01/03/2015 - 31/03/2018 > MARICHAL Jean-Luc
Target :	Researchers ; Professionals ; Students
Permalink :	http://hdl.handle.net/10993/21731
Other URL :	http://agop.math.us.edu.pl/

	File(s) associated to this reference
	Fulltext file(s): File Commentary Version Size Access Open access Agop-Couceiro-Marichal-Teheux-15-final.pdf Article Author postprint 235.86 kB View/Open Additional material(s): File Commentary Size Access Open access Transparents-AGOP.pdf Slides 162.24 kB View/Open Open access agop2015_programme.pdf Program 850.71 kB View/Open

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