Reference : Single-peakedness in aggregation function theory
Scientific Presentations in Universities or Research Centers : Scientific presentation in universities or research centers
Physical, chemical, mathematical & earth Sciences : Mathematics
Computational Sciences
http://hdl.handle.net/10993/39492
Single-peakedness in aggregation function theory
English
Devillet, Jimmy mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Couceiro, Miguel mailto [LORIA, CNRS - Inria Nancy Grand Est - Université de Lorraine]
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
14-May-2019
International
Séminaire de Mathématiques Discrètes, Optimisation et Décision (MDOD)
14-05-2019
Centre d'Economie de la Sorbonne
Université Paris 1 - Panthéon Sorbonne
Paris
France
[en] Due to their great importance in data fusion, aggregation functions have been extensively investigated for a few decades. Among these functions, fuzzy connectives (such as uninorms) play an important role in fuzzy logic.

We establish a remarkable connection between a family of associative aggregation functions, which includes the class of idempotent uninorms, and the concepts of single-peakedness and single-plateaudness, introduced in social choice theory by D. Black. Finally, we enumerate those orders when the underlying set is finite.
University of Luxembourg - UL ; Fonds National de la Recherche - FnR
Researchers
http://hdl.handle.net/10993/39492
http://ces.univ-paris1.fr/membre/seminaire/MDOD/

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