Revisiting type-2 triangular norms on normal convex fuzzy truth values

作者：Wu, Xinxing^*; Zhu, Zhiyi; Chen, Guanrong

来源：Information Sciences, 2023, 643: 119246.

DOI：10.1016/j.ins.2023.119246

• Fuzzy truth values
• Triangular norm (t-norm)

This paper studies t-norms on the space L of all normal and convex fuzzy truth values. We first prove that the only non-convolution form type-2 t-norm constructed by Wu et al. satisfies the distributivity law for meet-convolution and show that t-norm in the sense of Walker and Walker is strictly stronger than t ??????-norm on L , which is strictly stronger than t-norm on L. Furthermore, we characterize some restrictive axioms of t ??????-norms for convolution operations on L and obtain some necessary conditions for t ??????-(co)norm convolution operations on L.

• 单位
  西南石油大学