An Arrow-like theorem over median algebras

Reference : An Arrow-like theorem over median algebras


	Document type :	Scientific congresses, symposiums and conference proceedings : Poster
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/19252

Title :	An Arrow-like theorem over median algebras
Language :	English
Author, co-author :	Couceiro, Miguel []
	Teheux, Bruno [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	2014
Peer reviewed :	Yes
On invitation :	No
Audience :	International
Event name :	DA2PL2014
Event date :	from 20-11-2014 to 21-11-2014
Event organizer :	Ecole centrale Paris
Event place (city) :	Paris
Event country :	France
Keywords :	[en] median algebra
Abstract :	[en] We present an Arrow-like theorem for aggregation functions over convervative 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.
Name of the research project :	F1R-MTH-PUL-12RDO2 > MRDO2 > 01/02/2012 - 28/02/2015 > MARICHAL Jean-Luc
Target :	Researchers
Permalink :	http://hdl.handle.net/10993/19252

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Open access	Median_preserving_ecole_centraleV04.pdf		Author postprint	386.69 kB	View/Open

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