Characterizations of idempotent n-ary uninorms

Reference : Characterizations of idempotent n-ary uninorms


	Document type :	Scientific congresses, symposiums and conference proceedings : Paper published in a book
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics Engineering, computing & technology : Computer science
	Focus Areas :	Computational Sciences
	To cite this reference:	http://hdl.handle.net/10993/38645

Title :	Characterizations of idempotent n-ary uninorms
Language :	English
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 >]
Publication date :	5-Feb-2019
Main document title :	38th Linz Seminar on Fuzzy Set Theory
Peer reviewed :	Yes
On invitation :	No
Audience :	International
Event name :	38th Linz Seminar on Fuzzy Set Theory (LINZ 2019)
Event date :	from 05-02-2019 to 08-02-2019
Event organizer :	Johannes Kepler University Linz
Event place (city) :	Linz
Event country :	Austria
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.
Funders :	University of Luxembourg - UL
Target :	Researchers ; Professionals
Permalink :	http://hdl.handle.net/10993/38645
Other URL :	http://www.flll.jku.at/linz2019/index.php

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	File	Commentary	Version	Size	Access
Open access	NUninorms.pdf		Author preprint	185.8 kB	View/Open

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Open access	Transparents.pdf		402.57 kB	View/Open
Open access	ProgramLINZ2019.pdf		171.53 kB	View/Open

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