Characterizing idempotent nullnorms on bounded lattices
General Mathematics
2020-07-30 v2
Abstract
Nullnorms with a zero element being at any point of a bounded lattice are an important generalization of triangular norms and triangular conorms. This paper obtains an equivalent characterization for the existence of idempotent nullnorms with the zero element on any bounded lattice containing two distinct elements incomparable with . Furthermore, some basic properties for the bounded lattice containing two distinct element incomparable with a are presented.
Keywords
Cite
@article{arxiv.2007.13269,
title = {Characterizing idempotent nullnorms on bounded lattices},
author = {Xinxing Wu and Shudi Liang and Gül Deniz Çaylı},
journal= {arXiv preprint arXiv:2007.13269},
year = {2020}
}