Approximation capability of regular fuzzy neural networks to continuous fuzzy functions

被引：5

作者：

Liu, PY ^{[1
]}

Wang, H ^{[1
]}

机构：

[1] Natl Univ Def Technol, Dept Syst Engn & Math, Changsha 410073, Peoples R China

来源：

SCIENCE IN CHINA SERIES E-TECHNOLOGICAL SCIENCES | 1999年 / 42卷 / 02期

基金：

中国国家自然科学基金;

关键词：

regular fuzzy neural networks; universal approximation; cut-preserving fuzzy mapping;

D O I：

10.1007/BF02917113

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The approximation capability of regular fuzzy neural networks to fuzzy functions is studied. When sigma is a nonconstant, bounded and continuous function on R, some equivalent conditions are obtained, with which continuous fuzzy functions can be approximated to any degree of accuracy by the four-layer feedforward regular fuzzy neural network [GRAPHICS] Finally a few examples of such fuzzy functions are given.

引用

页码：175 / 182

页数：8

共 50 条

[1] Approximation capability of regular fuzzy neural networks to continuous fuzzy functions
刘普寅
汪浩
[J]. Science China Technological Sciences, 1999, (02) : 175 - 182
[2] Approximation capability of regular fuzzy neural networks to continuous fuzzy functions
Puyin Liu
Hao Wang
[J]. Science in China Series E: Technological Sciences, 1999, 42 : 175 - 182
[3] Approximation of fuzzy functions by regular fuzzy neural networks
Huang, Huan
Wu, Congxin
[J]. FUZZY SETS AND SYSTEMS, 2011, 177 (01) : 60 - 79
[4] Approximation of level continuous fuzzy-valued functions by multilayer regular fuzzy neural networks
Huang, Huan
Wu, Congxin
[J]. MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (7-8) : 1311 - 1318
[5] Approximation of fuzzy-valued functions by regular fuzzy neural networks and the accuracy analysis
Huan Huang
Congxin Wu
[J]. Soft Computing, 2014, 18 : 2525 - 2540
[6] Approximation of fuzzy-valued functions by regular fuzzy neural networks and the accuracy analysis
Huang, Huan
Wu, Congxin
[J]. SOFT COMPUTING, 2014, 18 (12) : 2525 - 2540
[7] APPROXIMATION ANALYSES FOR FUZZY VALUED FUNCTIONS IN L1（μ）-NORM BY REGULAR FUZZY NEURAL NETWORKS
Liu Puyin (Dept. of System Eng. and Math.
[J]. Journal of Electronics(China), 2000, (02) : 132 - 138
[8] Approximation Ability of Regular Fuzzy Neural Networks to Fuzzy-valued Functions in MS Convergence Structure
Mao, Qing-Song
[J]. 2013 32ND CHINESE CONTROL CONFERENCE (CCC), 2013, : 3515 - 3518
[9] Analyses of regular fuzzy neural networks for approximation capabilities
Liu, PY
[J]. FUZZY SETS AND SYSTEMS, 2000, 114 (02) : 329 - 338
[10] Universal approximations of continuous fuzzy-valued functions by multi-layer regular fuzzy neural networks
Liu, PY
[J]. FUZZY SETS AND SYSTEMS, 2001, 119 (02) : 313 - 320

← 1 2 3 4 5 →