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math.LO2026
A complete representation theorem for nullnorms on bounded trellises
Zhenyu Xiu
We establish necessary and sufficient conditions under which a binary operation on a bounded trellis is a proper nullnorm. The representation combines a t-conorm on the lower inter…
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…
math.LO2023
Some further construction methods for uninorms via uninorms
Zhenyu Xiu, Xu Zheng
In this paper, we further investigate new construction methods for uninorms on bounded lattices via given uninorms. More specifically, we first construct new uninorms on arbitrary…