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| 三支决策视角下概念格的分析和比较* | |
| 引用本文： | 李磊军,李美争,解滨,米据生.三支决策视角下概念格的分析和比较*[J].模式识别与人工智能,2016,29(10):951-960. |
| 作者姓名： | 李磊军 李美争 解滨 米据生 |
| 作者单位： | 1.河北师范大学 数学与信息科学学院 石家庄 050024。 2.河北师范大学 河北省计算数学与应用重点实验室 石家庄 050024。 3.西南交通大学 信息科学与技术学院 成都 610031。 4.河北师范大学 信息技术学院 石家庄 050024 |
| 基金项目： | 国家自然科学基金项目(No.61502144,61573127,61472463,61300121,11301137)、河北省自然科学基金项目(No.A2014205157)、河北省高等学校自然科学基金项目(No.QN2016133)、 河北省高校创新团队领军人才培育计划项目(No.LJRC022)、河北师范大学博士基金项目(No.L2015B01)资助 |
| 摘 要： | 基于概念的构造和形式背景的构成,文中从三支决策的视角探究不同概念格之间的内在联系,分别对比不完备形式背景和经典形式背景中的概念格及直觉模糊形式背景和模糊形式背景中的概念格,展现三支决策在概念格理论中的重要价值.通过对比可以看出,相比经典形式背景和模糊形式背景中的概念格,不完备形式背景和直觉模糊形式背景中的概念格体现三支决策思想,具有数据存储所占空间更小,属性约简更简洁等优势. |
| 关 键 词： | 概念格 三支决策 不完备形式背景 模糊形式背景 直觉模糊形式背景 |
| 收稿时间： | 2016-03-08 |
Analysis and Comparison of Concept Lattices from the Perspective of Three-Way Decisions |
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| LI Leijun,LI Meizheng,XIE Bin,MI Jusheng.Analysis and Comparison of Concept Lattices from the Perspective of Three-Way Decisions[J].Pattern Recognition and Artificial Intelligence,2016,29(10):951-960. | |
| Authors: | LI Leijun LI Meizheng XIE Bin MI Jusheng |
| Affiliation: | 1.College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024. 2.Hebei Key Laboratory of Computational Mathematics and Applications, Hebei Normal University, Shijiazhuang 050024. 3.School of Information Science and Technology, Southwest Jiaotong University, Chengdu 610031. 4.College of Information Technology, Hebei Normal University, Shijiazhuang 050024 |
| Abstract: | Based on the construction of formal concepts and the constitution of formal contexts, the inherent connections between different concept lattices are explored from the perspective of three-way decisions. The comparison of the concept lattices in classical formal context and incomplete formal context, as well as in fuzzy formal context and intuitionistic fuzzy formal context, is given, respectively. Then, the important value of three-way decisions in concept lattice theory is shown. Compared with the concept lattices in classical formal context and fuzzy formal context, the concept lattices in incomplete formal context and intuitionistic fuzzy formal context can reflect the idea of three-way decisions, and they have advantages of small data storage requirement, concise attribute reduction, etc. |
| Keywords: | Concept Lattice Three-Way Decisions Incomplete Formal Context Fuzzy Formal Context Intuitionistic Fuzzy Formal Context |
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