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Volume 26 Issue 5
May  2000
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Journal of Beijing University of Aeronautics and Astronautics  > 2000  >  26(5): 612-615.
DAI Ji-yang, MAO Jian-qin, ZHANG Jian-ganget al. Matrix Coding in GA and Its Application to Fuzzy Modelling[J]. Journal of Beijing University of Aeronautics and Astronautics, 2000, 26(5): 612-615. (in Chinese)
Citation: DAI Ji-yang, MAO Jian-qin, ZHANG Jian-ganget al. Matrix Coding in GA and Its Application to Fuzzy Modelling[J]. Journal of Beijing University of Aeronautics and Astronautics, 2000, 26(5): 612-615. (in Chinese)
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Matrix Coding in GA and Its Application to Fuzzy Modelling

  • Beijing University of Aeronautics and Astronautics,School of Science

  • Received Date: 08 Apr 1999
  • Publish Date: 31 May 2000
    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.

     

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  • [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.
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