3 papers
math.FA2025
Uninorms via two comparable closure operators on bounded lattices
Zhenyu Xiu, Xu Zheng
In this paper, we propose novel methods for constructing uninorms using two comparable closure operators or, alternatively, two comparable interior operators on bounded lattices. T…
math.FA2024
Nullnorms on bounded trellises
Zhenyu Xiu, Xu Zheng
In this paper, we introduce the notion of nullnorms on bounded trellises and study some basic properties. Based on the existence of -norms and -conorms on arbitrary bounded t…
math.LO2024
New construction methods for uninorms via functions with q and uninorms on bounded lattices
Zhen-Yu Xiu, Zheng-Yuan Si, Xu Zheng
In this paper, we study the construction methods for uninorms on bounded lattices via functions with the given uninorms and (or ). Specif…