Triangular norms are extensively applied in fuzzy logic. The transformation of the nilpotent minimum t-norm using a non-decreasing transformation yielding a special type of triangular norm is discussed. Some characterizations of such non-decreasing transformation are provided.

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A Note to the Construction of t-Norms Based on  \(T^{nM}\)

  • Liteng Zheng,
  • Gang Li

摘要

Triangular norms are extensively applied in fuzzy logic. The transformation of the nilpotent minimum t-norm using a non-decreasing transformation yielding a special type of triangular norm is discussed. Some characterizations of such non-decreasing transformation are provided.