【摘要】 本文首先从一个二元关系矩阵出发,给出经典粗糙集、模糊粗糙集、粗糙模糊集的上下近似的矩阵描述,然后研究了它们的性质,最后将粗糙集、模糊粗糙集、粗糙模糊集的上下近似的定义用矩阵的方法统一起来,给研究带来了方便。矩阵的方法不仅提供了上下近似的简单的计算方法,也提供了一种新的推理的方法。更多还原

【Abstract】 In this paper,the author studies the rough sets used matrix. First,the upper and lower approximation operators of Pawlak rough sets,fuzzy-rough sets,rough-fuzzy sets are redefined using the matrix representation; then the properties of these upper and lower approximation operators are discussed;at last,the definitions of the upper and lower approximation operators of Pawlak rough sets,fuzzy-rough sets,rough-fuzzy sets are unified through the compound operator of matrix. The matrix approach afford not only a simply computing method of the upper and lower approximation operators of rough sets,but also a new inference method.更多还原