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On idempotent n-ary uninorms
Devillet, Jimmy; Kiss, Gergely; Marichal, Jean-Luc
2019In Torra, Vicenç; Narukawa, Yasuo; Pasi, Gabriella et al. (Eds.) Modeling Decisions for Artifical Intelligence
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Abstract :
[en] In this paper we describe the class of idempotent n-ary uninorms on a given chain.When the chain is finite, we axiomatize the latter class by means of the following conditions: associativity, quasitriviality, symmetry, and nondecreasing monotonicity. Also, we show that associativity can be replaced with bisymmetry in this new axiomatization.
Disciplines :
Computer science
Mathematics
Author, co-author :
Devillet, Jimmy ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Kiss, Gergely
Marichal, Jean-Luc ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
External co-authors :
yes
Language :
English
Title :
On idempotent n-ary uninorms
Publication date :
24 July 2019
Event name :
16th International Conference on Modeling Decisions for Artificial Intelligence
Event organizer :
University of Milano-Bicocca
Event place :
Milan, Italy
Event date :
from 04-09-2019 to 06-09-2019
Audience :
International
Main work title :
Modeling Decisions for Artifical Intelligence
Editor :
Torra, Vicenç
Narukawa, Yasuo
Pasi, Gabriella
Viviani, Marco
Publisher :
Springer, Cham, Switzerland
ISBN/EAN :
978-3-030-26772-8
Collection name :
Series: Lecture Notes in Artificial Intelligence - Vol. 11676
Pages :
98-104
Peer reviewed :
Peer reviewed
Focus Area :
Computational Sciences
Funders :
University of Luxembourg - UL
FNR - Fonds National de la Recherche [LU]
Available on ORBilu :
since 04 September 2019

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