Gromov–Hausdorff convergence of non-Archimedean fuzzy metric spaces
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Gromov–Hausdorff convergence of non-Archimedean fuzzy metric spacesData de publicació
2015Editor
ElsevierISSN
0165-0114Cita bibliogràfica
MACARIO, Sergio; SANCHIS, Manuel. Gromov–Hausdorff convergence of non-Archimedean fuzzy metric spaces. Fuzzy Sets and Systems, 2015, vol. 267, p. 62-85.Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://www.sciencedirect.com/science/article/pii/S0165011414003066Paraules clau / Matèries
Resum
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. [-]
Publicat a
Fuzzy Sets and Systems Volume 267, 15 May 2015, Pages 62–85Drets d'accés
Copyright © 2014 Elsevier B.V. All rights reserved.
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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