Reference : On 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/10993/40245

Title :	On 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 :	24-Jul-2019
Main document title :	Modeling Decisions for Artifical Intelligence
Editor :	Torra, Vicenç
	Narukawa, Yasuo
	Pasi, Gabriella
	Viviani, Marco
Publisher :	Springer
Collection and collection volume :	Series: Lecture Notes in Artificial Intelligence - Vol. 11676
Pages :	98-104
Peer reviewed :	Yes
Audience :	International
ISBN :	978-3-030-26772-8
City :	Cham
Country :	Switzerland
Event name :	16th International Conference on Modeling Decisions for Artificial Intelligence
Event date :	from 04-09-2019 to 06-09-2019
Event organizer :	University of Milano-Bicocca
Event place (city) :	Milan
Event country :	Italy
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.
Funders :	University of Luxembourg - UL ; Fonds National de la Recherche - FnR
Target :	Researchers ; Professionals ; Students
Permalink :	http://hdl.handle.net/10993/40245
DOI :	10.1007/978-3-030-26773-5_9
Other URL :	https://link.springer.com/chapter/10.1007/978-3-030-26773-5_9
	https://link.springer.com/book/10.1007/978-3-030-26773-5
	http://www.mdai.cat/mdai2019/

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	Fulltext file(s): File Commentary Version Size Access Limited access Devillet2019_Chapter_ONIdempoteNtN-aryUNiNorms.pdf Article Publisher postprint 254.29 kB Request a copy Limited access 2019_Book_ModelingDecisionsForArtificial.pdf Entire Volume Publisher postprint 17.11 MB Request a copy Open access NUninorms_Devillet.Kiss.Marichal.pdf Article Author preprint 225.85 kB View/Open Additional material(s): File Commentary Size Access Open access NUninorms_DKM.pdf Slides 402.07 kB View/Open

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