Title :
A generalization on the approximation of compact fuzzy sets
Author :
Y. Chalco-Cano;H. Roma´n-Flores;A. Flores-Franulic
Author_Institution :
Departamento de Matemá
Abstract :
In this paper we present an approximation for a compact fuzzy set by a sequence of Lipschitz fuzzy sets. For this, given a compact fuzzy set, we construct a sequence of Lipschitz fuzzy sets using the sup-min-convolution which converge in D-metric to the compact fuzzy set original. The results obtained in this paper are a generalization of previous result obtained by the authors.
Keywords :
"Fuzzy sets","Piecewise linear approximation","Convolution","Approximation algorithms","Approximation methods","Piecewise linear techniques","Fuzzy set theory"
Conference_Titel :
Fuzzy Information Processing Society (NAFIPS), 2010 Annual Meeting of the North American
Print_ISBN :
978-1-4244-7859-0
DOI :
10.1109/NAFIPS.2010.5548417
