三支决策视角下概念格的分析和比较  

Analysis and Comparison of Concept Lattices from the Perspective of Three-Way Decisions

作　　者：李磊军[1,2] 李美争[3] 解滨[4] 米据生[1,2] 

机构地区：[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

出　　处：《模式识别与人工智能》2016年第10期951-960,共10页Pattern Recognition and Artificial Intelligence

基　　金：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.Based on the construction of formal concepts connections between different concept lattices are The comparison of the concept lattices in classical and the constitution of formal contexts, the inherent explored from the perspective of three-way decisions. 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.

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 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]