| L-偏序集上的闭包系统 |
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| 引用本文： | 郭兰坤,李庆国.L-偏序集上的闭包系统[J].模糊系统与数学,2011,25(5). |
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| 作者姓名： | 郭兰坤 李庆国 |
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| 作者单位： | 湖南大学数学与计量经济学院,湖南长沙,410082 |
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| 基金项目： | 国家自然科学基金资助项目(10771056) |
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| 摘 要： | 给出L-幂集上LK-闭包系统的等价刻画。提出L-偏序集上闭包系统的概念并讨论其基本性质。最后,将经典偏序集和L-幂集上关于闭包算子和闭包系统的对应理论推广到L-偏序集上。
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| 关 键 词： | L-偏序集 L-幂集 闭包系统 闭包算子 |
Closure Systems on L-ordered Sets |
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| GUO Lan-kun,LI Qing-guo.Closure Systems on L-ordered Sets[J].Fuzzy Systems and Mathematics,2011,25(5). |
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| Authors: | GUO Lan-kun LI Qing-guo |
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| Institution: | GUO Lan-kun,LI Qing-guo(College of Mathematics and Economics,Hunan University,Changsha 410082,China) |
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| Abstract: | This paper presents an equivalent characterization of LK-closure systems on L-powerset.The new notion of LK-closure systems on L-ordered set is proposed and its fundamental properties are discussed.Finally,the correspondence between closure systems and closure operators on classical ordered set and L-powerset is extended onto L-ordered set. |
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| Keywords: | L-ordered Set L-powerset Closure System Closure Operator |
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