Meng Chen

collaborators

3 papers

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

The characterizations of monotone functions which generate associative functions

Chen Meng, Yun-Mao Zhang, Xue-ping Wang

Associativity of a two-place function $T : [0, 1]^{2} \to [0, 1]$ defined by $T (x, y) = f^{(- 1)} (F (f (x), f (y)))$ where $F : [0, \infty]^{2} \to [0, \infty]$ is an associative functio…

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…