| 各种截集形式的粗糙模糊集的构造性质 |
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| 引用本文： | 何天荣.各种截集形式的粗糙模糊集的构造性质[J].西昌学院学报(自然科学版),2009,23(1):23-26. |
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| 作者姓名： | 何天荣 |
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| 作者单位： | 云南民族大学,数学与计算机科学学院,云南,昆明,650031 |
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| 摘 要： | 本文在Pawlak近似空间中引入了λ-上截集、强λ-上截集,λ-下截集、强λ-下截集,λ-上重截集、强λ-上重截集,λ-下重截集、强λ-下重截集的概念,系统地讨论了基于各种截集形式的粗糙模糊集的构造性质,得出了基于模糊等价关系的各种截集形式的粗糙模糊集的表现定理和扩张定理并给出了系统的证明。
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| 关 键 词： | 粗糙模糊集 λ-截集 |
The Constructive Properties of Rough Fuzzy Sets Based on All Kinds of Level Sets |
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| HE Tian-rong.The Constructive Properties of Rough Fuzzy Sets Based on All Kinds of Level Sets[J].Journal of Xichang College,2009,23(1):23-26. |
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| Authors: | HE Tian-rong |
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| Affiliation: | HE Tian-rong (School of Mathematics and Computer Science, Yunnan Nationalities University, Kunming, Yunnan 650031) |
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| Abstract: | In this paper, we introduced λ - upper Level set, strong λ - upper Level set, λ - lower Level set, strong λ - lower Level set, λ - upper weight Level set, strong λ - upper weight Level set, λ - lower weight Level set and strong λ- lower weight Level set in Pawlak approximation space. And discussed the constructive properties of rough fuzzy sets based on some kinds of level sets systematically. We devoted many efforts to study the represent theories and extended theories of rough fuzzy sets, and finally we gained the represent and extended theories based on four different level sets and detailed poof of the theories was given. |
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| Keywords: | Rough fuzzy sets λ- level sets |
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