3 papers
math.LO2025
Structures of uninorms on bounded lattices via t-conorms, closure operators and t-subnorms
Zhenyu Xiu, Zhengyuan Si
In this paper, we provide some structures of uninorms on bounded lattices via t-conorms, closure operators and t-subnorms, subject to certain constraints on the closure operators a…
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…