| 广义粗糙模糊子群 |
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| 引用本文： | 郭增晓,赵会引,刘雅娜.广义粗糙模糊子群[J].河北师范大学学报(自然科学版),2009,33(1). |
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| 作者姓名： | 郭增晓 赵会引 刘雅娜 |
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| 作者单位： | 1. 石家庄学院,数学系,河北,石家庄,050035
2. 河北工业职业技术学院,基础部,河北,石家庄,050091 |
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| 基金项目： | 国家自然科学基金，河北省自然科学基金，河北省教育厅自然科学研究项目 |
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| 摘 要： | 定义了群中模糊集合基于模糊不变子群的整体近似,并研究了近似算子的性质,讨论了近似算子对于模糊子群的交、并运算的性质;提出了上(下)广义粗糙模糊子群的概念,分析并证明了模糊不变子群成为上(下)广义粗糙模糊子群的条件.
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| 关 键 词： | 粗糙集 模糊集 同余关系 模糊不变子群 近似算子 广义粗糙模糊子群 |
Generalized Rough Fuzzy Subgroup |
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| GUO Zeng-xiao,ZHAO Hui-yin,LIU Ya-na.Generalized Rough Fuzzy Subgroup[J].Journal of Hebei Normal University,2009,33(1). |
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| Authors: | GUO Zeng-xiao ZHAO Hui-yin LIU Ya-na |
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| Institution: | 1.Department of Mathematics;Shijiazhuang College;Hebei Shijiazhuang 050035;China;2.Department of Basic Courses;Hebei College of Industry and Technology;Hebei Shijiazhaung 050091;China |
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| Abstract: | The unified approximation of a fuzzy subset of a group is studied based on an invariant subgroup.Some operation properties for the approximation operators about the intersection and union of two fuzzy subgroups are examined.Concepts of the upper and lower generalized rough fuzzy subgroups are proposed.The condition for which a fuzzy invariant subgroup may be an upper or lower generalized rough fuzzy subgroups is analyzed and proved. |
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| Keywords: | rough set fuzzy set congruence relation fuzzy invariant subgroup approximation operator generalized rough fuzzy subgroup |
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