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

页码：5394 / 5403

页数：10

共 21 条

[1] Fuzzy modelling in population dynamics [J].