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模糊子群的模糊粗糙正规子群
The Fuzzy Rough Normal Subgroups of a Fuzzy Subgroup
【摘要】 利用模糊正规子群诱导的模糊关系,生成一个群上的模糊近似空间。在模糊粗糙集的框架下,研究一个模糊子群的模糊正规子群的上下近似算子的结构性质。
【Abstract】 A fuzzy approximation space was induced by a fuzzy normal subgroup of a group.Based on the framework of fuzzy rough set introduced by Dubois and Prade,the concept of fuzzy rough normal subgroup of a fuzzy subgroup was introduced and some properties of the upper and lower approximations of fuzzy rough normal subgroups were discussed.
【关键词】 模糊子集;
模糊子群;
模糊正规子群;
模糊粗糙集;
【Key words】 Fuzzy Subset; Fuzzy Group; Fuzzy Normal Group; Fuzzy Rough Set;
【Key words】 Fuzzy Subset; Fuzzy Group; Fuzzy Normal Group; Fuzzy Rough Set;
【基金】 国家自然科学基金资助项目(11471152)
- 【文献出处】 模糊系统与数学 ,Fuzzy Systems and Mathematics , 编辑部邮箱 ,2016年06期
- 【分类号】O153
- 【下载频次】36