The extension principle and a decomposition of fuzzy sets

被引：25
作者：
Chalco-Cano, Y.
Roman-Flores, H.
Rojas-Medar, M.
Saavedra, O. R.
Jimenez-Gamero, M. D.
机构：
[1] Univ Tarapaca, Dept Matemat, Arica, Chile
[2] Univ Biobio, Dept Ciencias Basicas, Chillan, Chile
[3] Univ Fed Maranhao, Dept Elect Engn, San Luis, MA, Brazil
[4] Univ Seville, Dept Estadist & IO, E-41012 Seville, Spain
来源：
INFORMATION SCIENCES | 2007年 / 177卷 / 23期
关键词：
fuzzy sets; extension principle; decomposition of fuzzy sets;
D O I：
10.1016/j.ins.2007.07.007
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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 f(u), where f is obtained from f by applying the extension principle. We provide approximation bounds. Some numeric illustration is provided. (C) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：5394 / 5403
页数：10
相关论文
共 21 条
123