Reference : Characterizations of idempotent discrete uninorms
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Engineering, computing & technology : Computer science
Computational Sciences
http://hdl.handle.net/10993/31588
Characterizations of idempotent discrete uninorms
English
Couceiro, Miguel mailto [LORIA, CNRS - Inria Nancy Grand Est - Université de Lorraine]
Devillet, Jimmy mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
1-Mar-2018
Fuzzy Sets & Systems
Elsevier Science
334
Theme: Uninorms
60-72
Yes (verified by ORBilu)
International
0165-0114
Amsterdam
The Netherlands
[en] Discrete uninorm ; idempotency ; conservativeness
[en] In this paper we provide an axiomatic characterization of the idempotent discrete uninorms by means of three conditions only: conservativeness, symmetry, and nondecreasing monotonicity. We also provide an alternative characterization involving the bisymmetry property. Finally, we provide a graphical characterization of these operations in terms of their contour plots, and we mention a few open questions for further research.
University of Luxembourg - UL
R-AGR-0500 > MRO3 > 01/03/2015 - 28/02/2018 > MARICHAL Jean-Luc
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/31588
10.1016/j.fss.2017.06.013
http://arxiv.org/abs/1701.07253

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