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中国工业与应用数学学会会刊
主管：中华人民共和国教育部
主办：西安交通大学
ISSN 1005-3085  CN 61-1269/O1
工程数学学报

工程数学学报 ›› 2021, Vol. 38 ›› Issue (4): 490-502.doi: 10.3969/j.issn.1005-3085.2021.04.004

• • 上一篇    下一篇

多决策覆盖信息系统的约简

许丽婷1,   李进金1,2,   林艺东1,   李怡靓1   

  1. 1- 闽南师范大学数学与统计学院，漳州  363000 2- 福建省粒计算及其应用重点实验室，漳州  363000
  • 收稿日期:2019-04-02 接受日期:2019-10-29 出版日期:2021-08-15 发布日期:2021-10-15
  • 通讯作者: 李进金 E-mail: jinjinli@mnu.edu.cn
  • 基金资助:
    国家自然科学基金 (11871259)；福建省研究生教育教学改革重大教改项目 (FBJG20200076).

Reduction of Multi-decision Covering Information Systems

XU Li-ting1,   LI Jin-jin1,2,   LIN Yi-dong1,   LI Yi-liang1   

  1. 1- School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000
    2- Fujian Key Laboratory of Granular Computing and Application, Zhangzhou 363000
  • Received:2019-04-02 Accepted:2019-10-29 Online:2021-08-15 Published:2021-10-15
  • Contact: J. Li. E-mail address: jinjinli@mnu.edu.cn
  • Supported by:
    The National Natural Science Foundation of China (11871259); the Major Teaching Reform Projects of Postgraduate Education in Fujian Province (FBJG20200076).

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摘要： 覆盖决策信息系统是研究热点之一，其中对于决策为覆盖的覆盖决策信息系统研究较少．本文利用特征函数将覆盖决策信息系统中以覆盖刻画的决策转化为由0和1组成的形式背景，进而给出了多决策覆盖信息系统的定义．在多决策覆盖信息系统中，通过构造相应的辨识矩阵，讨论了两类覆盖的约简，并研究了这两类约简对应的覆盖协调集与覆盖决策信息系统中上近似协调集之间的关系．

关键词: 多决策覆盖信息系统, 辨识矩阵, 覆盖约简

Abstract: The covering decision information system is one of the research focuses. However, there is little research on the covering decision information system which the decision is a covering. In this paper, a characteristic function is used to transform the decision expressed by covering into a formal context composed of 0 and 1. Furthermore, the definition of a multi-decision covering information system is given. In the multi-decision covering information system, two kinds of covering reduction are discussed by constructing a corresponding discernibility matrix. And the relation between the covering consistent set corresponding to these two kinds of reductions and the upper approximation consistent set in the covering decision information system is studied.

Key words: multi-decision covering information system, discernibility matrix, covering reduction

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