| 模糊粗糙集的分解定理 |
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| 引用本文： | 赵磊,舒兰.模糊粗糙集的分解定理[J].电子科技大学学报（自然科学版）,2001,30(6):647-650. |
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| 作者姓名： | 赵磊 舒兰 |
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| 作者单位： | 1.电子科技大学应用数学系 成都 610054 |
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| 基金项目： | 国家自然科学基金，69803007， |
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| 摘 要： | 根据模糊粗糙集(FR集)中上下近似都是模糊集合的构造性质,利用模糊集不同截集定义和分解定理,给出了模糊粗糙集(FR集)截集定义和相应的分解定理,并证明了模糊粗糙集(FR集)集的分解定理,分解定理揭示了模糊粗糙集和普通集之间的关系,在理论和应用中发挥着重要的作用。
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| 关 键 词： | 模糊集 粗糙集 模糊粗糙集 分解定理 |
| 收稿时间： | 2001-01-17 |
Decomposition Theorems of Fuzzy Rough Sets |
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| Affiliation: | 1.Dept. of Applied Mathematic UEST of China Chengdu 610054 |
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| Abstract: | Based on the structural property of Fuzzy Rough Sets which a pair of lower and upper approximations are Fuzzy sets, and the different concepts of cut sets and decomposition theorems of Fuzzy sets are used to define the concepts of cut sets of Fuzzy Rough Sets and relevant decomposition theorems of Fuzzy Rough sets. Through the different decomposition theorems of Fuzzy sets, the different decomposition theorems of Fuzzy Rough Sets are proved. The relationship between Fuzzy Rough sets and normal sets is well explained by the decomposition theorem of Fuzzy Rough Sets. The decomposition theorem presented in this paper is very import and well applied both in theory and practice. |
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