Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/57176
Type: Artigo de periódico
Title: Convolution of fuzzy sets and applications
Author: Roman-Flores, H
Chalco-Cano, Y
Rojas-Medar, M
Abstract: The purpose of this work is studying the approximation in D-metric of upper semi-continuous and normal fuzzy sets with compact support on R-n by using the convolution (fdelg)(x) = sup{f(x - y) boolean AND g(y) : y is an element of X} between two fuzzy sets, where the distance D(f, g) is the supremum of the Hausdorff distances of their corresponding level sets. In particular, by using del-convolution, a density result is proved and some applications in Choquet integration of fuzzy numbers are presented. (C) 2003 Elsevier Ltd. All rights reserved.
Subject: fuzzy sets
Hausdorff metric
convolution
Choquet's integrals
Country: Inglaterra
Editor: Pergamon-elsevier Science Ltd
Rights: fechado
Identifier DOI: 10.1016/S0898-1221(03)00356-0
Date Issue: 2003
Appears in Collections:Unicamp - Artigos e Outros Documentos

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