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Metric spaces of fuzzy sets

Diamond, P. and Kloeden, P. (1999) Metric spaces of fuzzy sets. Fuzzy Sets and Systems, 100 . pp. 63-71.

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Two classes of metrics are introduced for spaces of fuzzy sets. Their equivalence is discussed and basic properties established. A characterisation of compact and locally compact subsets is given in terms of boundedness and p-mean equileft-continuity, and the spaces shown to be locally compact, complete and separable metric spaces.

Item Type: Journal Article
Murdoch Affiliation: School of Mathematical and Physical Sciences
Journal or Publication Title: Fuzzy Sets and Systems
Page Range: pp. 63-71
Publisher: Elsevier B.V.
Copyright: © 1999 Published by Elsevier B.V.
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