模糊粗糙群  

Fuzzy Rough Groups

作　　者：秦克云[1] 赵华[1] 

机构地区：[1]西南交通大学数学学院,四川成都610031

出　　处：《模糊系统与数学》2011年第4期162-169,共8页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(60875034)

摘　　要：研究模糊群的粗糙近似。借助模糊正规子群生成群上模糊近似空间,在模糊粗糙集模型的框架中对相关的模糊粗糙近似算子进行讨论。得到了模糊粗糙近似算子的基本性质,并研究了模糊粗糙近似算子与群中乘法运算的相容性。This paper is devoted to the discussion of fuzzy rough groups. The fuzzy approximation space was generated by fuzzy normal subgroup and the fuzzy rough approximation operators were discussed in the frame of fuzzy rough set model. The basic properties of fuzzy rough approximation operators were obtained and the consistency between approximation operators and the binary operation of group was discussed.

关 键 词：粗糙集 近似算子 模糊正规子群 

分 类 号：O159[理学—数学]