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Median Preserving Aggregation Functions
Couceiro, Miguel; Marichal, Jean-Luc; Teheux, Bruno
2015In Baczyński, Michal; De Baets, Bernard; Mesiar, Radko (Eds.) Proceedings of the 8th Int. Summer School on Aggregation Operators
Peer reviewed
 

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Keywords :
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.
Disciplines :
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 :
Median Preserving Aggregation Functions
Publication date :
July 2015
Event name :
Proc. 8th Int. Summer School on Aggregation Operators and their Applications (AGOP 2015)
Event organizer :
Michał Baczyński (chair)
Bernard De Baets (chair)
Radko Mesiar (chair)
Event place :
University of Silesia, Katowice, Poland
Event date :
from 07-07-2015 to 10-07-2015
Audience :
International
Main work title :
Proceedings of the 8th Int. Summer School on Aggregation Operators
Editor :
Baczyński, Michal
De Baets, Bernard
Mesiar, Radko
Publisher :
Uniersity of Silesia, Katowice, Poland
ISBN/EAN :
978-83-8012-519-3
Pages :
85-89
Peer reviewed :
Peer reviewed
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 10 August 2015

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