Abstract: The linear fuzzy differential systems can be translated into equivalent crisp linear differential systems by utilizing fuzzy structured element method. The approximate solutions of crisp linear differential systems are given by utilizing homotopy perturbation method and the approximate solutions of linear fuzzy differential systems are obtained, one illustrated example is provided.

Key words: linear fuzzy differential systems, fuzzy structured element method, homotopy perturbation method, approximate solutions

摘要： 利用模糊结构元方法，将线性模糊微分系统转换成同解的线性确定微分系统。采用同伦摄动法给出线性确定微分系统的近似解，进而给出原模糊微分系统的近似解。给出了具体算例。

关键词: 线性模糊微分系统, 模糊结构元方法, 同伦摄动法, 近似解