Marichal, Jean-Luc[University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
5-Feb-2019
38th Linz Seminar on Fuzzy Set Theory
Yes
No
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.