Computer Engineering and Applications ›› 2015, Vol. 51 ›› Issue (18): 38-41.

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Solving a class of fuzzy nonlinear systems based on homotopy method

PENG Xiaohua1, JIA Meizhen2, WANG Lei1   

  1. 1.Department of Basic Teaching, Liaoning Technical University, Huludao, Liaoning 125105, China
    2.College of Science, Liaoning Technical University, Fuxin, Liaoning 123000, China
  • Online:2015-09-15 Published:2015-10-13


彭晓华1,贾美珍2,王  磊1   

  1. 1.辽宁工程技术大学 基础教学部,辽宁 葫芦岛 125105
    2.辽宁工程技术大学 理学院,辽宁 阜新 123000

Abstract: Based on the triangular fuzzy number and fuzzy rules, a class of full fuzzy nonlinear systems can be transformed into equivalent crisp nonlinear systems by parameters transform method. Then the approximate solutions of full fuzzy nonlinear systems are obtained also. One illustrated example is provided.

Key words: triangular fuzzy number, full fuzzy nonlinear systems, parameters transform method, homotopy method

摘要: 在现有三角模糊数表示及模糊运算规则基础上,采用参数变换法对一类模糊非线性系统做变换,得到同解的确定非线性系统。采用同伦法求解该确定非线性系统,进而给出原模糊非线性系统的近似解,并给出了具体算例。

关键词: 三角模糊数, 模糊非线性系统, 参数变换法, 同伦法