| 模糊形式概念分析与模糊概念格 |
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| 引用本文： | 胡明涵,张俐,任飞亮.模糊形式概念分析与模糊概念格[J].东北大学学报(自然科学版),2007,28(9):1274-1277. |
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| 作者姓名： | 胡明涵 张俐 任飞亮 |
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| 作者单位： | 东北大学,信息科学与工程学院,辽宁,沈阳,110004 |
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| 摘 要： | 针对在许多应用领域中,大多数信息都是复杂的、不确定的,而传统的形式概念分析不能表达这些模糊的、不确定的信息问题,介绍了将Zadeh的模糊数学理论与形式概念分析理论相结合所形成的模糊形式概念分析理论.给出并证明了在模糊形式背景下对象集合及属性集合的一些结论.建立了在模糊形式背景下的模糊概念格并证明了该模糊概念格仍然是一个完备格.最后用实例说明了这种模糊概念格的构造方法.
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| 关 键 词： | 形式概念分析 模糊形式概念分析 模糊概念格 完备格 对象 属性 |
| 文章编号： | 1005-3026（2007）09-1274-04 |
| 修稿时间： | 2006-11-28 |
Fuzzy Formal Concept Analysis and Fuzzy Concept Lattices |
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| HU Ming-han,ZHANG Li,REN Fei-liang.Fuzzy Formal Concept Analysis and Fuzzy Concept Lattices[J].Journal of Northeastern University(Natural Science),2007,28(9):1274-1277. |
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| Authors: | HU Ming-han ZHANG Li REN Fei-liang |
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| Institution: | (1) School of Information Science and Engineering, Northeastern University, Shenyang 110004, China |
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| Abstract: | In many application domains, information is complex and uncertain. Conventional formal concept analysis is unable to express fully the vague and uncertain information. The theory of fuzzy formal concept analysis is therefore introduced, which combines the fuzzy theory proposed by Zadeh with the theory of formal concept analysis. Some conclusions are drawn with a set of objects and a set of attributes proved in fuzzy formal context. Then, the fuzzy concept lattice is formed in fuzzy formal context, which is proved to be a complete one. Some examples are given to illustrate how to form the fuzzy concept lattice. |
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| Keywords: | formal concept analysis fuzzy formal concept analysis fuzzy concept lattice complete lattice object attribute |
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