TY - JOUR
T1 - The extension principle and a decomposition of fuzzy sets
AU - Chalco-Cano, Y.
AU - Román-Flores, H.
AU - Rojas-Medar, M.
AU - Saavedra, O. R.
AU - Jiménez-Gamero, M. D.
PY - 2007/12/1
Y1 - 2007/12/1
N2 - We give an algorithm to decompose a fuzzy interval u. Using this decomposition and the multilinearization of a univariate function f, we obtain an approximation of the fuzzy interval over(f, ̂) (u), where over(f, ̂) is obtained from f by applying the extension principle. We provide approximation bounds. Some numeric illustration is provided.
AB - We give an algorithm to decompose a fuzzy interval u. Using this decomposition and the multilinearization of a univariate function f, we obtain an approximation of the fuzzy interval over(f, ̂) (u), where over(f, ̂) is obtained from f by applying the extension principle. We provide approximation bounds. Some numeric illustration is provided.
KW - Decomposition of fuzzy sets
KW - Extension principle
KW - Fuzzy sets
UR - https://www.scopus.com/pages/publications/34548733039
U2 - 10.1016/j.ins.2007.07.007
DO - 10.1016/j.ins.2007.07.007
M3 - Article
AN - SCOPUS:34548733039
SN - 0020-0255
VL - 177
SP - 5394
EP - 5403
JO - Information Sciences
JF - Information Sciences
IS - 23
ER -