| 一种新的L-集表现定理 |
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| 引用本文： | 方进明,韩元良.一种新的L-集表现定理[J].中国海洋大学学报(自然科学版),2008,38(6). |
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| 作者姓名： | 方进明 韩元良 |
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| 作者单位： | 中国海洋大学数学科学学院,山东,青岛,266071 |
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| 摘 要： | 在隶属度值格仅为完备格的条件下,研究了L-集轮和L-开集轮的特征性质,并以2种集轮为工具给出基于L-集轮和L-开集轮的L-集表现定理.由于隶属度值格仅为完备格,得到的L-集表现定理更有一般意义.
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| 关 键 词： | L-集 L-集轮 L-开集轮 截集 完备格 |
A New Representation Theorem of L-Sets |
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| FANG Jin-Ming,HAN Yuan-Liang.A New Representation Theorem of L-Sets[J].Periodical of Ocean University of China,2008,38(6). |
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| Authors: | FANG Jin-Ming HAN Yuan-Liang |
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| Institution: | FANG Jin-Ming,HAN Yuan-Liang(Mathematical Science School,Ocean University of China,Qingdao 266071,China) |
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| Abstract: | In this paper,the characteristic properties of set wheel and open set wheel are investigated under the condition that the lattice membership degree is only a complete lattice.Then the new representation theorems of L-sets are given using set wheel and open set wheel.Because the membership degree's lattice is only a complete lattice,the results obtained in this paper will be of more general significance. |
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| Keywords: | L-sets set wheel open set wheel cut sets complete lattice |
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