Based on the definition of fuzzy matrix and A-Cutting matrix, a production operation of number and fuzzy matrix is put forth, through which the decomposition theorem of fuzzy matrix is thus established, and the transformation relationship between fuzzy matrix and λ-Cutting matrix, the transformation relationship between a category of classic set matrix and fuzzy matrix are also acquired. The properties of the product operation concerning numbers and fuzzy matrices are put under discussion as well.%从模糊矩阵的定义与λ-截矩阵的定义出发，提出一种数与模糊矩阵的乘积运算，通过这个运算建立了模糊矩阵的分解定理，得到了模糊矩阵与截矩阵之间的转化关系和一类经典集合矩阵与模糊矩阵之间的转化关系，并讨论了数与模糊矩阵的乘积运算的性质．
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