Fuzzy closure systems on L—ordered sets

Fuzzy closure systems on L—ordered sets
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DOI：
10.1002/malq.201010007
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发表时间：
2011-06
期刊：
Mathematical Logic Quarterly
影响因子：
0.3
通讯作者：
Lankun Guo;Guo-Qiang Zhang;Qingguo Li
Lankun Guo;Guo-Qiang Zhang;Qingguo Li
中科院分区：
数学4区
文献类型：
--
作者：
Lankun Guo;Guo-Qiang Zhang;Qingguo Li

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本文从模糊的角度介绍了模糊闭包系统和L序集上的模糊闭包L系统的概念。我们首先探讨模糊闭包系统的基本属性。然后建立模糊闭包系统（模糊闭包L—系统）与模糊闭包算子之间的对应关系。最后，我们研究了模糊闭包系统和模糊伽罗瓦连接之间的联系。 © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA，魏因海姆
In this paper, notions of fuzzy closure system and fuzzy closure L—system on L—ordered sets are introduced from the fuzzy point of view. We first explore the fundamental properties of fuzzy closure systems. Then the correspondence between fuzzy closure systems (fuzzy closure L—systems) and fuzzy closure operators is established. Finally, we study the connections between fuzzy closure systems and fuzzy Galois connections. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim