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Type: Artigo de periódico
Title: On The Variational Convergence Of Fuzzy Sets In Metric Spaces
Author: Greco G.H.
Moschen M.P.
Rezende E.Q.F.
Abstract: Kaleva [9] has studied the relationships between the metric convergencesH andD of fuzzy convex sets on Euclidean spaces. The distanceH between two fuzzy set is given by Hausdorff distance of their sendographs, whileD is the supremum of the Hausdorff distances of the level sets corresponding to the fuzzy sets. The aim of this paper is to compareH andD with the variational convergence, called γ-convergence (see De Giorgi and Franzoni [3]). Our analysis which is carried out in the setting of metric spaces (not necessarily locally compact or vector spaces), improves Kaleva's results. © 1998 Università degli Studi di Ferrara.
Rights: fechado
Identifier DOI: 10.1007/BF02828014
Date Issue: 1998
Appears in Collections:Unicamp - Artigos e Outros Documentos

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