北京航空航天大学学报 ›› 2000, Vol. 26 ›› Issue (5): 612-615.

• 论文 • 上一篇    下一篇

GA矩阵编码方法及其在模糊建模中的应用

代冀阳, 毛剑琴, 张建刚   

  1. 北京航空航天大学 理学院
  • 收稿日期:1999-04-08 出版日期:2000-05-31 发布日期:2010-09-27
  • 作者简介:代冀阳(1966-),男,江西九江人,博士生,100083,北京.
  • 基金资助:

    国家自然科学基金资助项目(69874002)

Matrix Coding in GA and Its Application to Fuzzy Modelling

DAI Ji-yang, MAO Jian-qin, ZHANG Jian-gang   

  1. Beijing University of Aeronautics and Astronautics,School of Science
  • Received:1999-04-08 Online:2000-05-31 Published:2010-09-27

摘要: 在遗传算法(GA)的实际应用中,许多问题都可以采用树结构描述.模糊建模中的结构辨识是指如何划分输入空间,它是一种复杂的非线性优化过程,模糊树模型可将输入空间的划分表示成二叉树结构的形式.本文提出了一种树结构的矩阵编码方法,这种编码方法直观、简单,非常适合遗传算法的各种遗传操作.针对模糊树模型,以树结构为个体,采用矩阵编码方式,利用遗传算法优化输入空间的划分,得到了一个精度较高而复杂度较低的次优模糊树模型.

Abstract: In the practical applications of genetic algorithm(GA), a lot of problems can be described as tree structures. In fuzzy modelling, the structure identification of a fuzzy model is to partition the input domain, which is in essence a process of complicated nonlinear optimization. The partition of the input domain can be expressed as a binary tree by a fuzzy tree model. A matrix coding approach to representing a binary tree is presented, which is simple and suitable for the genetic operations in GA. The partition of the input domain is optimized by GA with matrix coding for tree-structured individuals and theresulting suboptimal fuzzy tree model is obtained, which has higher precision and lower complexity of model. A simulation example is given to validate the proposed method.

中图分类号: 


版权所有 © 《北京航空航天大学学报》编辑部
通讯地址:北京市海淀区学院路37号 北京航空航天大学学报编辑部 邮编:100191 E-mail:jbuaa@buaa.edu.cn
本系统由北京玛格泰克科技发展有限公司设计开发