Xue-ping Wang

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math.GM2026

Bounds of triangular subnorms and their algorithms

Ting Tang, Xue-ping Wang

This article deals with the upper and lower bounds of triangular subnorms generated by continuous, strictly decreasing additive generators. It first establishes necessary and suffi…

math.GM2026

Monotone functions that generate conditionally cancellative triangular subnorms

Meng Chen, Xue-ping Wang

Let a function $F : [0, 1]^{2} \to [0, 1]$ be given by $F (x, y) = f^{(- 1)} (T (f (x), f (y)))$ where $f : [0, 1] \to [0, 1]$ is a monotone function, $f^{(- 1)}$ is the pseudo-invers…

math.GM2025

Associativity of two-place functions generated by left continuous monotone functions and other properties

Meng Chen, Xue-ping Wang

This article introduces a weak pseudo-inverse of a monotone function, which is applied to characterize the associativity of a two-place function $T : [0, 1]^{2} \to [0, 1]$ defin…

math.GM2024

Associativity of a class of two-place functions and its consequences for classes of triangular norms

Yun-Mao Zhang, Xue-ping Wang

This article characterizes the associativity of two-place functions $T : [0, 1]^{2} \to [0, 1]$ defined by $T (x, y) = f^{(- 1)} (F (f (x), f (y)))$ where $F : [0, 1]^{2} \to [0, 1]$ is a…