An identification theorem for the completion of the Hausdorff fuzzy metric
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Otros documentos de la autoría: Gutiérrez García, J.; Romaguera, S.; Sanchis López, Manuel
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http://dx.doi.org/10.1016/j.fss.2013.04.012 |
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Título
An identification theorem for the completion of the Hausdorff fuzzy metricFecha de publicación
2013Editor
ElsevierISSN
0165-0114Cita bibliográfica
Fuzzy Sets and Systems Volume 227, 16 September 2013, Pages 96–10Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://www.sciencedirect.com/science/article/pii/S0165011413001851Versión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
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. 227Derechos de acceso
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