偏序集的完备化与形式概念分析 |
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引用本文: | 刘红平,李庆国.偏序集的完备化与形式概念分析[J].湖南大学学报(自然科学版),2013,40(8):110-113. |
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作者姓名: | 刘红平 李庆国 |
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作者单位: | (1. 湖南大学 数学与计量经济学院,湖南 长沙410082; 2. 山东建筑大学 理学院,山东 济南250101) |
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摘 要: | 借用形式概念分析中构造粗糙概念的方法,给出偏序集的几种完备化构造.然后由偏序集诱导一个形式背景,讨论该形式背景下的粗糙概念与完备化的关系.最后得到本文给出的完备化与经典的Dedekind-MacNeille完备化同构的结论.
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关 键 词: | 偏序集 完备化 形式概念 粗糙概念 |
Completions of Posets and Formal Concept Analysis |
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Institution: | (1. College of Mathematics and Econometrics, Hunan Univ, Changsha, Hunan410082, China; 2. College of Science, Shandong Jianzhu Univ, Jinan, Shandong250101 China) |
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Abstract: | Through the construction of rough concepts in formal concept analysis, we introduce several completions for posets in this paper. After that, we construct a formal context from a poset, and discuss the relationship between the completions and rough concepts. It is shown that the completions proposed are isomorphic to Dedekind-MacNeille completion. |
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Keywords: | poset completion formal concept rough concept |
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