arXiv subjects
Publications and source records attributed to Shudi Liang.
This article pays attention to the $α$-migrativity of 2-uninorms with $α\in [0,1]$ deeply. It describes the $α$-migrativity of 2-uninorms completely, which generalizes and unifies some current existing characterizations for $α$-migrativity of triangular norm, triangular conorm, uninorms, nullnorms, uni-nullnorms and null-uninorms, respectively.
In this article, we present two methods to construct 2-uninorms on bounded lattices by using additive generators, which are further used for inducing uninorms, nullnorms, uni-nullnorms and null-uninorms, respectively. We also provide some examples for illustrating the constructing methods of 2-uninorms.
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 $a$ on any bounded lattice containing two distinct elements incomparable with $a$. Furthermore, some basic properties for the bounded lattice containing two distinct element incomparable with a are presented.