Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/81856
Type: Artigo de periódico
Title: On the approximation of compact fuzzy sets
Author: Chalco-Cano, Y
Baez-Sanchez, AD
Roman-Flores, H
Rojas-Medar, MA
Abstract: This paper suggests an approximation for a compact fuzzy set by a sequence of Lipschitz fuzzy sets. This approximation method involves the construction of Lipschitz fuzzy sets using the sup-min convolution of a compact fuzzy set with a fuzzy zero. Considering a similar procedure, we present the approximation of a trapezoidal type fuzzy interval by a sequence of differentiable fuzzy intervals. We show some important properties of both approximations and we give some numerical examples illustrating the results. (C) 2010 Elsevier Ltd. All rights reserved.
Subject: Compact fuzzy sets
Lipschitz fuzzy sets
Fuzzy intervals
Convolution of fuzzy sets
Country: Inglaterra
Editor: Pergamon-elsevier Science Ltd
Rights: fechado
Identifier DOI: 10.1016/j.camwa.2010.11.018
Date Issue: 2011
Appears in Collections:Unicamp - Artigos e Outros Documentos

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