Yun-Mao Zhang

most citedThe characterizations of monotone functions which generate associative functions

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math.GM2024★ 1 cited

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.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…