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中文摘要：
证明论域x上的全体模糊集之集上的两种度量是等价的。讨论这种度量空间中孤立点的分布情况，并将这些结论推广到格值模糊集之集上。从模糊推理系统鲁棒性分析的角度，比较几种不同的蕴涵算子生成的度量或者拓扑。
英文摘要：
The equivalence of two metrics on the family of fuzzy subsets of the universe X is veri- fied. The distributions of isolated points of the above metric spaces are discussed, and these in- vestigations were extended to the set that consist of lattice-valued fuzzy subsets. Different metrics or topologies which generated by different implication operators are compared from the view point of robustness analysis of fuzzy reasoning system.
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