Reference : Generalizations of single-peakedness
Scientific congresses, symposiums and conference proceedings : Unpublished conference
Physical, chemical, mathematical & earth Sciences : Mathematics
Computational Sciences
http://hdl.handle.net/10993/38612
Generalizations of single-peakedness
English
Devillet, Jimmy mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
30-Jan-2019
Yes
Yes
International
2nd Symposium Mathematics for Decision and Discovery (M4D2)
30-01-2019
Laboratoire lorrain de recherche en informatique et ses applications (LORIA)
Nancy
France
[en] We establish a surprising connection between a family of conservative semigroups, which includes the class of idempotent uninorms, and the concepts of single-peakedness and single-plateaudness, introduced in social choice theory by D. Black. We also introduce a generalization of single-peakedness to partial orders of join-semilattices and show how it is related to the class of idempotent and commutative semigroups. Finally, we enumerate those orders when the corresponding semigroups are finite.
Researchers
http://hdl.handle.net/10993/38612
https://malotec.loria.fr/2nd-symposium-mathematics-for-decision-and-discovery-m4d2

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