Unpublished conference/Abstract (Scientific congresses, symposiums and conference proceedings)
Generalizations of single-peakedness
Devillet, Jimmy
20192nd Symposium Mathematics for Decision and Discovery (M4D2)
 

Files


Full Text
Transparents.pdf
Publisher postprint (256.68 kB)
Download
Annexes
2nd Symposium Mathematics for Decision and Discovery (M4D2) – MALOTEC.pdf
(2.3 MB)
Download

All documents in ORBilu are protected by a user license.

Send to



Details



Abstract :
[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.
Disciplines :
Mathematics
Author, co-author :
Devillet, Jimmy ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
External co-authors :
no
Language :
English
Title :
Generalizations of single-peakedness
Publication date :
30 January 2019
Event name :
2nd Symposium Mathematics for Decision and Discovery (M4D2)
Event organizer :
Laboratoire lorrain de recherche en informatique et ses applications (LORIA)
Event place :
Nancy, France
Event date :
30-01-2019
By request :
Yes
Audience :
International
Focus Area :
Computational Sciences
FnR Project :
FNR10949314 - Geometric And Stochastic Methods In Mathematics And Applications, 2015 (01/10/2016-31/03/2023) - Gabor Wiese
Available on ORBilu :
since 30 January 2019

Statistics


Number of views
89 (7 by Unilu)
Number of downloads
50 (5 by Unilu)

Bibliography


Similar publications



Contact ORBilu