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计算机工程 ›› 2011, Vol. 37 ›› Issue (23): 69-71,74. doi: 10.3969/j.issn.1000-3428.2011.23.023

• 软件技术与数据库 • 上一篇    下一篇

不协调格值目标信息系统的近似约简

徐伟华,王巧荣,张先韬   

  1. (重庆理工大学数学与统计学院,重庆 400054)
  • 收稿日期:2011-05-13 出版日期:2011-12-05 发布日期:2011-12-05
  • 作者简介:徐伟华(1979-),男,副教授、博士,主研方向:粗糙集;王巧荣、张先韬,硕士研究生
  • 基金资助:
    国家自然科学基金资助项目“直觉模糊近似空间和形式背景中的知识获取研究”(61105041);中国博士后基金资助项目“基于粗糙集的带偏好信息系统的决策分析研究”(20100481331);重庆市自然科学基金资助项目“直觉模糊环境下信息系统与形式背景中知识发现和规则提取的理论方法研究”(2011BB7015)

Approximation Reduction of Inconsistent Lattice-value Target Information System

XU Wei-hua, WANG Qiao-rong, ZHANG Xian-tao   

  1. (School of Mathematics and Statistics, Chongqing University of Technology, Chongqing 400054, China)
  • Received:2011-05-13 Online:2011-12-05 Published:2011-12-05

摘要: 针对不协调格值目标信息系统的属性约简问题,提出不协调格值目标信息系统上近似约简与下近似约简的概念,并得到2种约简的判定定理。给出求解上、下近似约简的辨识矩阵及约简方法。通过实例验证得出,该约简方法具有实效性,格值目标信息系统的值域最为广泛,适用于由属性值域构成格的信息系统

关键词: 格值目标信息系统, 偏序关系, 上近似约简, 下近似约简, 辨识矩阵

Abstract: The concepts of upper and lower approximation reduction of inconsistent lattice-value target information system are proposed and the judgment theorems are obtained. Moreover, the discernibility matrix and the detailed approaches are provided in order to get the upper and lower approximation reduction. An example demonstrates the validity of the approaches. The lattice-value target information system is the widest target information system. The reduction approach is valid for information systems in which all values of every attribute can compose a lattice.

Key words: lattice-value target information system, partial ordering relation, upper approximation reduction, lower approximation reduction, discernibility matrix

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