Reference : On idempotent discrete uninorms
Scientific congresses, symposiums and conference proceedings : Paper published in a book
Physical, chemical, mathematical & earth Sciences : Mathematics
Engineering, computing & technology : Computer science
http://hdl.handle.net/10993/31455
On idempotent discrete uninorms
English
Couceiro, Miguel [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 >]
Jun-2017
2018
Aggregation Functions in Theory and in Practice
De Baets, Bernard
Torra, Vicenç
Mesiar, Radko
Springer
Series: Advances in Intelligent Systems and Computing, Vol. 581
147-153
Yes
No
International
978-3-319-59306-7
Berlin
Germany
Proc. 9th Int. Summer School on Aggregation Operators and their Applications (AGOP 2017)
from 19-06-2017 to 22-06-2017
Vicenç Torra
Skövde
Sweden
[en] Discrete uninorm ; idempotency ; conservativeness ; bisymmetry ; contour plot ; axiomatization
[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.
University of Luxembourg - UL
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/31455
10.1007/978-3-319-59306-7
http://www.springer.com/us/book/9783319593050
https://link.springer.com/book/10.1007/978-3-319-59306-7
http://www.mdai.cat/agop2017/

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