Characterizations of idempotent discrete uninorms
Rings and Algebras
2018-01-08 v2 Discrete Mathematics
Abstract
In this paper we provide an axiomatic characterization of the idempotent discrete uninorms by means of three conditions only: conservativeness, symmetry, and nondecreasing monotonicity. We also provide an alternative characterization involving the bisymmetry property. Finally, we provide a graphical characterization of these operations in terms of their contour plots, and we mention a few open questions for further research.
Keywords
Cite
@article{arxiv.1701.07253,
title = {Characterizations of idempotent discrete uninorms},
author = {Miguel Couceiro and Jimmy Devillet and Jean-Luc Marichal},
journal= {arXiv preprint arXiv:1701.07253},
year = {2018}
}