Xue-ping Wang

activity

20242026

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math.GM2024

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…