Reference : Median Preserving Aggregation Functions
Scientific congresses, symposiums and conference proceedings : Paper published in a book
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/21731
Median Preserving Aggregation 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 >]
Jul-2015
Proceedings of the 8th Int. Summer School on Aggregation Operators
Baczyński, Michal
De Baets, Bernard
Mesiar, Radko
Uniersity of Silesia
85-89
Yes
No
International
978-83-8012-519-3
Katowice
Poland
Proc. 8th Int. Summer School on Aggregation Operators and their Applications (AGOP 2015)
from 07-07-2015 to 10-07-2015
Michał Baczyński (chair)
Bernard De Baets (chair)
Radko Mesiar (chair)
University of Silesia, Katowice
Poland
[en] Median algebras ; Aggregation Functions ; Distributive lattices
[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.
University of Luxembourg - UL
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/21731
http://agop.math.us.edu.pl/

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