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An identification theorem for the completion of the Hausdorff fuzzy metric

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An identification theorem for the completion of the Hausdorff fuzzy metric

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Gutierrez García, J.; Romaguera Bonilla, S.; Sanchis, M. (2013). An identification theorem for the completion of the Hausdorff fuzzy metric. Fuzzy Sets and Systems. 227:96-106. doi:10.1016/j.fss.2013.04.012

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Title: An identification theorem for the completion of the Hausdorff fuzzy metric
Author:
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada
Issued date:
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 ...[+]
Subjects: Hausdorff fuzzy metric , Completion , Isometry , Contraction , Dynamical system
Copyrigths: Reserva de todos los derechos
Source:
Fuzzy Sets and Systems. (issn: 0165-0114 )
DOI: 10.1016/j.fss.2013.04.012
Publisher:
Elsevier
Publisher version: http://dx.doi.org/10.1016/j.fss.2013.04.012
Thanks:
Research supported by the Ministry of Economy and Competitiveness of Spain, under Grants MTM2012-37894-C02-01 and MTM2012-37894-C02-02. The first named author also acknowledges financial support from the UPV/EHU under ...[+]
Type: Artículo

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