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Characterizations of idempotent n-ary uninorms
DEVILLET, Jimmy; Kiss, Gergely; MARICHAL, Jean-Luc
2019In 38th Linz Seminar on Fuzzy Set Theory
Peer reviewed
 

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Abstract :
[en] In this paper we provide a characterization of the class of idempotent n-ary uninorms on a given chain. When the chain is finite, we also provide anaxiomatic characterization of the latter class by means of four conditions only: associativity, quasitriviality, symmetry, and nondecreasing monotonicity. In particular, we show that associativity can be replaced with bisymmetry in this 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 :
Characterizations of idempotent n-ary uninorms
Publication date :
05 February 2019
Event name :
38th Linz Seminar on Fuzzy Set Theory (LINZ 2019)
Event organizer :
Johannes Kepler University Linz
Event place :
Linz, Austria
Event date :
from 05-02-2019 to 08-02-2019
Audience :
International
Main work title :
38th Linz Seminar on Fuzzy Set Theory
Peer reviewed :
Peer reviewed
Focus Area :
Computational Sciences
Funders :
University of Luxembourg - UL
Available on ORBilu :
since 05 February 2019

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