Title : On idempotent discrete uninorms Language : English Author, co-author : Couceiro, Miguel [LORIA, CNRS - Inria Nancy Grand Est - Université de Lorraine] Devillet, Jimmy [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >] Marichal, Jean-Luc [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >] Publication date : Jun-2017 Edition : 2018 Main document title : Aggregation Functions in Theory and in Practice Author, co-author : De Baets, Bernard Editor : Torra, Vicenç Mesiar, Radko Publisher : Springer Collection and collection volume : Series: Advances in Intelligent Systems and Computing, Vol. 581 Pages : 147-153 Peer reviewed : Yes On invitation : No Audience : International ISBN : 978-3-319-59306-7 City : Berlin Country : Germany Event name : Proc. 9th Int. Summer School on Aggregation Operators and their Applications (AGOP 2017) Event date : from 19-06-2017 to 22-06-2017 Event organizer : Vicenç Torra Event place (city) : Skövde Event country : Sweden Keywords : [en] Discrete uninorm ; idempotency ; conservativeness ; bisymmetry ; contour plot ; axiomatizationAbstract : [en] In this paper we provide two axiomatizations of the class of idempotent discrete uninorms as conservative binary operations, where an operation is conservative if it always outputs one of its input values. More precisely we first show that the idempotent discrete uninorms are exactly those operations that are conservative, symmetric, and nondecreasing in each variable. Then we show that, in this characterization, symmetry can be replaced with both bisymmetry and existence of a neutral element.Funders : University of Luxembourg - UL Name of the research project : R-AGR-0500 > MRO3 > 01/03/2015 - 28/02/2018 > MARICHAL Jean-Luc Target : Researchers ; Professionals ; Students Permalink : http://hdl.handle.net/10993/31455 DOI : 10.1007/978-3-319-59306-7 Other URL : http://www.springer.com/us/book/9783319593050 https://link.springer.com/book/10.1007/978-3-319-59306-7 http://www.mdai.cat/agop2017/ 
[University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
