| 模糊粗糙集的格结构 |
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| 引用本文： | 刘晓纲. 模糊粗糙集的格结构[J]. 河北师范大学学报(自然科学版), 2003, 27(3): 248-250 |
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| 作者姓名： | 刘晓纲 |
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| 作者单位： | 锦州师范学院数学系,辽宁,锦州,121000 |
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| 基金项目： | 辽宁省教育厅攀登计划资助项目(20161049) |
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| 摘 要： | 定义了模糊集合的上、下近似算子，讨论了其代数结构.证明了模糊粗糙集理论中全体可定义集合构成一个完全分配格，给出了生成这一完全分配格的元素的集合并讨论了其基本性质.
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| 关 键 词： | 模糊粗糙集 格结构 代数结构 完全分配格 上近似算子 下近似算子 |
| 文章编号： | 1000-5854(2003)03-0248-03 |
Lattice Structures of the Fuzzy Rough Sets |
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| LIU Xiao-gang. Lattice Structures of the Fuzzy Rough Sets[J]. Journal of Hebei Normal University, 2003, 27(3): 248-250 |
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| Authors: | LIU Xiao-gang |
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| Abstract: | Upper and lower fuzzy approximation operators are defined, and there algebraic structures are studied. It is proved that all defined sets in fuzzy rough sets theory construct a completely distribution lattice. The sets generated this completely distribution lattice are given,and there basic properties are also discussed . |
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| Keywords: | fuzzy set rough set completely distribution lattice |
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