3 papers
math.GM2026
Constructing left-continuous triangular norms on complete lattices
Peng He, Xue-ping Wang
This article focuses on the construction of left-continuous t-norms on complete lattices. The concepts of -mappings and weak -mappings on complete latti…
math.RT2025
Left-continuous pseudo-t-norms on modular lattices
Peng He, Xue-ping Wang
This article focuses on the relationship between pseudo-t-norms and the structure of lattices. First, we establish a necessary and sufficient condition for the existence of a left-…
math.CO2024
Triangular norms on finite lattices
Peng He, Xue-Ping Wang
This article intends to characterize triangular norms on a finite lattice. We first give a method for generating a triangular norm on an atomistic lattice by the values of atoms. T…