Paper Title:
Novel Non-Equidistant Optimum GM(1,1) and its Application to Line-Drawing Data Processing in Computer Aided Design
  Abstract

Based on the exponential trait of grey model and the definition of integral, the reconstruction method of GM(1,1) model’s background value function of non-equal distance sequence was put forward and a kind of non-equidistant optimum grey model GM(1,1) to line-drawing data processing in computer aided design was proposed. The new model chooses the modified first component of X(0) obtained by optimizing as the starting conditions of the grey differential model and the parameter of the background value function also obtained by optimizing with chaos immune particle swarm optimization algorithm (CIPSO) to make the fitting mean relative error least. The method of precision inspection was introduced. Then, the programming was authorized with MATLAB7.6 language. An example was given, the results were compared with the results based other Grey models, respectively. The method can be used for model establishing on equal interval, as well as on non-interval. Moreover, GM(1,1) model’s fitting precision and prediction is advanced and the scope of application is enlarged. The model is simple and practical, and has a generalizing value in the field of CAD.

  Info
Periodical
Key Engineering Materials (Volumes 439-440)
Edited by
Yanwen Wu
Pages
355-360
DOI
10.4028/www.scientific.net/KEM.439-440.355
Citation
Y. X. Luo, D. G. Liao, "Novel Non-Equidistant Optimum GM(1,1) and its Application to Line-Drawing Data Processing in Computer Aided Design", Key Engineering Materials, Vols. 439-440, pp. 355-360, 2010
Online since
June 2010
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Qiang Wang, Jian Sun, Jian Xiu Xiao
Chapter 7: Mechanical & Automation
Abstract:In this paper, a new controller of the pitch angle of the wind turbine is designed based on particle swarm optimizing clonal...
1108
Authors: Yu Zhu, Qing Zhao
Chapter 17: Computer Application, Mathematical Modeling and Analysis
Abstract:Dynamic deformation data analysis and prediction is a complex systematic project. Aimed at the shortcoming of the traditional prediction...
4760
Authors: Hong Wang, Pei Yi Zhao
Chapter 16: Intelligent Optimization Algorithms and Applications
Abstract:The Particle Swarm Optimization Algorithm is a new computational method for the combinatorial optimization problem, it is simple and...
2214