| 模糊粗糙群 |
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| 引用本文： | 秦克云,赵华.模糊粗糙群[J].模糊系统与数学,2011,25(4). |
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| 作者姓名： | 秦克云 赵华 |
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| 作者单位： | 西南交通大学数学学院,四川成都,610031 |
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| 基金项目： | 国家自然科学基金资助项目(60875034) |
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| 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。
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| 关 键 词： | 粗糙集 近似算子 模糊正规子群 |
Fuzzy Rough Groups |
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| QIN Ke-yun,ZHAO Hua.Fuzzy Rough Groups[J].Fuzzy Systems and Mathematics,2011,25(4). |
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| Authors: | QIN Ke-yun ZHAO Hua |
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| Institution: | QIN Ke-yun,ZHAO Hua(College of Mathematics,Southwest Jiaotong University,Chengdu 610031,China) |
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| Abstract: | 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. |
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| Keywords: | Rough Sets Approximation Operators Fuzzy Normal Subgroups |
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