Gromov–Hausdorff convergence of non-Archimedean fuzzy metric spaces
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Title
Gromov–Hausdorff convergence of non-Archimedean fuzzy metric spacesDate
2015Publisher
ElsevierISSN
0165-0114Bibliographic citation
MACARIO, Sergio; SANCHIS, Manuel. Gromov–Hausdorff convergence of non-Archimedean fuzzy metric spaces. Fuzzy Sets and Systems, 2015, vol. 267, p. 62-85.Type
info:eu-repo/semantics/articlePublisher version
http://www.sciencedirect.com/science/article/pii/S0165011414003066Subject
Abstract
We introduce the notion of the Gromov–Hausdorff fuzzy distance between two non-Archimedean fuzzy metric spaces (in the sense of Kramosil and Michalek). Basic properties involving convergence and the fuzzy version of ... [+]
We introduce the notion of the Gromov–Hausdorff fuzzy distance between two non-Archimedean fuzzy metric spaces (in the sense of Kramosil and Michalek). Basic properties involving convergence and the fuzzy version of the completeness theorem are presented. We show that the topological properties induced by the classic Gromov–Hausdorff distance on metric spaces can be deduced from our approach. [-]
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Fuzzy Sets and Systems Volume 267, 15 May 2015, Pages 62–85Rights
Copyright © 2014 Elsevier B.V. All rights reserved.
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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