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.
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.
作者
许丽婷
李进金
林艺东
李怡靓
XU Li-ting;LI Jin-jin;LIN Yi-dong;LI Yi-liang(School of Mathematics and Statistics,Minnan Normal University,Zhangzhou 363000;Fujian Key Laboratory of Granular Computing and Application,Zhangzhou 363000)
出处
《工程数学学报》
CSCD
北大核心
2021年第4期490-502,共13页
Chinese Journal of Engineering Mathematics
基金
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).
关键词
多决策覆盖信息系统
辨识矩阵
覆盖约简
multi-decision covering information system
discernibility matrix
covering reduc-tion
