A note on metrics induced by copulas

Yao Ouyang

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A note on metrics induced by copulas

机译：关于copulas度量的注释

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摘要

In this short note, we provide a continuous triangular norm that is not a copula and that generates a metric. Thus, the 9th open problem collected in Alsina et al. [Associative Functions: Triangular Norms and Copulas, World Scientific Publishing Company, Singapore, 2006] has a negative answer.

机译：在本简短说明中，我们提供了一个连续的三角范数，该范数不是copula，而是生成度量。因此，Alsina等人收集了第9个未解决的问题。 [关联函数：三角规范和Copulas，世界科学出版公司，新加坡，2006年]的答案是否定的。

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来源
《Fuzzy sets and systems》 |2012年第2012期|p.122-125|共4页
作者
Yao Ouyang;
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作者单位

Faculty of Science. Huzhou Teachers College. Huzhou. Zliejimig 313000. China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
fuzzy connectives and aggregation operators; copula; triangular norm; additive generator; metric;

机译：模糊连接词和聚合算子;系词;三角范数添加剂发生器公制;

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A note on metrics induced by copulas

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