| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 390272 | Fuzzy Sets and Systems | 2012 | 4 Pages |
Abstract
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.
► The metrics induced by copulas are discussed. ► We provide a continuous t-norm that is not a copula and that generates a metric. ► The 9th open problem in a recent monograph of Alsina et al. is solved.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Yao Ouyang,