论文标题
在晶格订购的$ t_ {r} $ - 类型-2模糊集的标准
On lattice-ordered $t_{r}$-norms for type-2 fuzzy sets
论文作者
论文摘要
在本文中，事实证明，对于间隔值模糊集的真实价值代数，分布定律并不意味着设置包含操作的单调性条件。然后，获得$ t $ t_ {r} $ - $ t $ norms的$ t $ norms $ [0，1] $的卷积。这些结果负面回答了[15]中沃克和沃克带来的两个开放问题。
In this paper, it is proved that, for the truth value algebra of interval-valued fuzzy sets, the distributive laws do not imply the monotonicity condition for the set inclusion operation. Then, a lattice-ordered $t_{r}$-norm, which is not the convolution of $t$-norms on $[0, 1]$, is obtained. These results negatively answer two open problems posed by Walker and Walker in [15].
