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On the nonexistence of Hausdorff-like metrics for fuzzy sets

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Publication:2778086
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DOI10.1016/S0167-8655(01)00117-9zbMath0988.03082OpenAlexW2162021822MaRDI QIDQ2778086

Peter Brass

Publication date: 14 July 2002

Published in: Pattern Recognition Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-8655(01)00117-9


zbMATH Keywords

fuzzy setsHausdorff metricdistance measuresfuzzy subsets of Euclidean space


Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Theory of fuzzy sets, etc. (03E72)


Related Items (7)

Novel semi-metrics for multivariate change point analysis and anomaly detection ⋮ Fuzzy metric spaces ⋮ Equivalence relations and \(L^p\) distances between time series with application to the black summer Australian bushfires ⋮ Some properties of sequences in gradual normed spaces ⋮ Distance Measures between Digital Fuzzy Objects and Their Applicability in Image Processing ⋮ ON SOME TOPOLOGICAL PROPERTIES IN GRADUAL NORMED SPACES ⋮ A new measure between sets of probability distributions with applications to erratic financial behavior




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