Reference : Characterizations of idempotent n-ary uninorms
Scientific congresses, symposiums and conference proceedings : Paper published in a book
Physical, chemical, mathematical & earth Sciences : Mathematics
Engineering, computing & technology : Computer science
Computational Sciences
http://hdl.handle.net/10993/38645
Characterizations of idempotent n-ary uninorms
English
Devillet, Jimmy mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Kiss, Gergely []
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
5-Feb-2019
38th Linz Seminar on Fuzzy Set Theory
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International
38th Linz Seminar on Fuzzy Set Theory (LINZ 2019)
from 05-02-2019 to 08-02-2019
Johannes Kepler University Linz
Linz
Austria
[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.
University of Luxembourg - UL
Researchers ; Professionals
http://hdl.handle.net/10993/38645
http://www.flll.jku.at/linz2019/index.php

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