TY - GEN
T1 - A generalization on the approximation of compact fuzzy sets
AU - Chalco-Cano, Y.
AU - Román-Flores, H.
AU - Flores-Franulic, A.
PY - 2010
Y1 - 2010
N2 - 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 Dmetric to the compact fuzzy set original. The results obtained in this paper are a generalization of previous result obtained by the authors.
AB - 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 Dmetric to the compact fuzzy set original. The results obtained in this paper are a generalization of previous result obtained by the authors.
KW - Convolution of fuzzy sets
KW - Fuzzy intervals
KW - Lipschitz fuzzy sets
KW - Terms-Compact fuzzy sets
UR - https://www.scopus.com/pages/publications/77956604045
U2 - 10.1109/NAFIPS.2010.5548417
DO - 10.1109/NAFIPS.2010.5548417
M3 - Conference contribution
AN - SCOPUS:77956604045
SN - 9781424478576
T3 - Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS
BT - 2010 Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS'2010
T2 - 2010 Annual North American Fuzzy Information Processing Society Conference, NAFIPS'2010
Y2 - 12 July 2010 through 14 July 2010
ER -