Some complete metrics on spaces of fuzzy subsets. (English) Zbl 1046.54003
Completions of the \(L_p\)-metrics as well as of the \(L_{p,\infty}\)-metrics, restricted to the space of normal, bounded, convex, compact fuzzy subsets of \(\mathbb R^k\) are studied.
Reviewer: Leandro Pardo (Madrid)
MSC:
| 54A40 | Fuzzy topology |
| 03E72 | Theory of fuzzy sets, etc. |
| 28E10 | Fuzzy measure theory |
| 54E35 | Metric spaces, metrizability |
| 62D05 | Sampling theory, sample surveys |
Keywords:
\(L_{p,\infty}\)-metrics; \(L_p\)-metrics; completion; fuzzy sample spaces; probability theoryReferences:
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