An identification theorem for the completion of the Hausdorff fuzzy metric
comunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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http://dx.doi.org/10.1016/j.fss.2013.04.012 |
Metadata
Title
An identification theorem for the completion of the Hausdorff fuzzy metricDate
2013Publisher
ElsevierISSN
0165-0114Bibliographic citation
Fuzzy Sets and Systems Volume 227, 16 September 2013, Pages 96–10Type
info:eu-repo/semantics/articlePublisher version
http://www.sciencedirect.com/science/article/pii/S0165011413001851Version
info:eu-repo/semantics/publishedVersionSubject
Abstract
We prove that given a fuzzy metric space (in the sense of Kramosil and Michalek), the completion of its Hausdorff fuzzy metric space is isometric to the Hausdorff fuzzy metric space of its completion, when the Hausdorff ... [+]
We prove that given a fuzzy metric space (in the sense of Kramosil and Michalek), the completion of its Hausdorff fuzzy metric space is isometric to the Hausdorff fuzzy metric space of its completion, when the Hausdorff fuzzy metrics are defined on the respective collections of non-empty closed subsets. As a consequence, we deduce the corresponding result for metric spaces by using the standard fuzzy metric. An application to the extension of multivalued mappings and some illustrative examples are also given. [-]
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Fuzzy Sets and Systems, 2013, vol. 227Rights
Copyright © 2013 Elsevier B.V. All rights reserved.
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- MAT_Articles [751]