摘要
在定义模糊关系矩阵和布尔运算基础上,建立模糊粗糙集模型.利用关系矩阵的布尔运算探讨模糊粗糙近似算子的代数性质,给出串行的、自反的、对称的二元模糊关系的近似算子的等价形式和简洁证明,并对传递的二元模糊关系的近似算子的性质予以修正.
The upper and lower approximation operators of rough sets are constructed based on fuzzy relation matrixes and Boolean vector operations.Algebraic properties of approximation operators of rough sets are discussed.Equivalent forms of approximation operators are proved simply based on serial binary relation,reflexive binary and symmetric binary relation.The properties of approximation based on transitive binary fuzzy relation are modified in this paper and a new method is proved for researching rough sets theory.
出处
《浙江树人大学学报（自然科学版）》
2015年第1期40-45,共6页
Journal of Zhejiang Shuren University(Acta Scientiarum Naturalium)
基金
浙江省教育厅科研基金资助项目(Y201329851)
关键词
关系矩阵
布尔向量
模糊粗糙集
模糊近似空间
relation matrix
fuzzy vector
binary fuzzy relation rough sets
approximation space
