论文标题
在正常凸模糊真实价值上重新访问2型三角形规范
Revisiting type-2 triangular norms on normal convex fuzzy truth values
论文作者
论文摘要
本文研究了所有正常和凸模的真实价值的$ \ mathbf {l} $的t-norms。我们首先证明了Wu等人构建的唯一非卷积形式T-Norm。满足征服卷积的分布性法律，并表明，在沃克和沃克的意义上，t-norm严格比t $ _ {r} $ - 在$ \ mathbf {l} $上的norm- norm- norm- norm norm，这严格比在$ \ m mathbf {l} $上强的t-norm强。此外，我们表征了T $ _ {r} $的一些限制性公理 - 在$ \ Mathbf {l} $上进行卷积操作的规范，并获得了T $ _ {r} $ - （CO）NORM norm norm norm endolution Operations $ \ Mathbf {l} $。
This paper studies t-norms on the space $\mathbf{L}$ 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$_{r}$-norm on $\mathbf{L}$, which is strictly stronger than t-norm on $\mathbf{L}$. Furthermore, we characterize some restrictive axioms of t$_{r}$-norms for convolution operations on $\mathbf{L}$ and obtain some necessary conditions for t$_{r}$-(co)norm convolution operations on $\mathbf{L}$ .
