Matrix Coding in GA and Its Application to Fuzzy Modelling
-
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.
-
Key words:
- fuzzy models /
- optimization /
- non-linear /
- fuzzy trees /
- genetic algorithm
-
[1]Goldberg D. Genetic algorithms in search, optimization, and machine learning[M]. Massachusetts:Addison-Wesley, 1989. [2]陈国良,王煦法,庄镇泉,等. 遗传算法及其应用[M]. 北京:人民邮电出版社,1996. [3]Masahiro Tanaka, Ju Ye, Tetsuzo Tanino. Fuzzy modeling by genetic algorithm with tree-structured individuals[J]. International Journal of Systems Science, 1996, 27(2):261~268． [4]Daihee Park, Abraham Kandel, Gideon Langholz. Genetic-based new fuzzy reasoning models with application to fuzzy control[J]. IEEE Trans on Systems, Man, and Cybernetics, 1994, 24(1):39~47. [5]Sugeno M. Fuzzy control[M]． Tokyo:Nikkan Kogyo, 1988. [6]张建刚.复杂系统辨识——方法、软件及应用研究 ．北京:北京航空航天大学理学院,1999. -
点击查看大图
计量
- 文章访问数: 2745
- HTML全文浏览量: 178
- PDF下载量: 1105
- 被引次数: 0
下载:
