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math.GM2026
Associativity of discretized triangular norms
Di Zhang, Xue-ping Wang
In this article, we mainly investigate when the binary operation satisfies the associative law and thus becomes a triangular norm where \begin{…
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 be given by where is a monotone function, is the pseudo-invers…