Abstract In this article, a natural L-topology is constructed on the set of L-fuzzy numbers, which is called the standard L-topology. It is proved that the standard L-topology can be induced by an L-metric. The space of trapezoidal fuzzy numbers can be regarded as a subspace of the space of L-fuzzy numbers. An L-metric on the set of trapezoidal fuzzy numbers is presented.

中文翻译：

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L-模糊数空间上的L-度量

摘要 本文在L-模糊数集上构造了一个自然的L-拓扑，称为标准L-拓扑。证明了标准的L-拓扑可以由一个L-度量推导出来。梯形模糊数空间可以看作是L-模糊数空间的一个子空间。提出了关于梯形模糊数集的 L 度量。