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Convergence of fuzzy sets with respect to the supremum metric

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Convergence of fuzzy sets with respect to the supremum metric

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Pedraza Aguilera, T.; Rodríguez López, J.; Romaguera Bonilla, S. (2014). Convergence of fuzzy sets with respect to the supremum metric. Fuzzy Sets and Systems. 245:83-100. https://doi.org/10.1016/j.fss.2014.03.005

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/50602

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Title: Convergence of fuzzy sets with respect to the supremum metric
Author: Pedraza Aguilera, Tatiana Rodríguez López, Jesús Romaguera Bonilla, Salvador
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
We characterize the convergence of fuzzy sets in the supremum metric given by the supremum of the Hausdorff distances of the alpha-cuts of the fuzzy sets. We do it by dividing this metric into its lower and upper ...[+]
Subjects: Supremum metric , Fuzzy set , Gamma-convergence , Hausdorff metric
Copyrigths: Reserva de todos los derechos
Source:
Fuzzy Sets and Systems. (issn: 0165-0114 )
DOI: 10.1016/j.fss.2014.03.005
Publisher:
Elsevier
Publisher version: http://dx.doi.org/10.1016/j.fss.2014.03.005
Project ID:
info:eu-repo/grantAgreement/MINECO//MTM2012-37894-C02-01/ES/METODOS TOPOLOGICOS EN HIPERESPACIOS Y MULTIFUNCIONES CONTRACTIVAS. CASI-METRICAS Y DOMINIOS CUANTITATIVOS/
Thanks:
The second and third authors thank the support of the Ministry of Economy and Competitiveness of Spain under grant MTM2012-37894-C02-01.
Type: Artículo

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