摘要
多尺度决策表是基于现实世界数据具有多尺度背景提出的一种模型。如何对多尺度决策表进行最优尺度约简是一个难题。通过构造多尺度辨识矩阵,探究辨识矩阵性质,并给出辨识矩阵与最优尺度约简的相关关系。将辨识矩阵与图论结合起来给出最优尺度约简的快速算法,最后通过数值实验验证所提出算法的有效性。
Multi-scale decision table is a model based on real-world data with multi-scale background. It is a difficult problem that how to carry out optimal scale reduction of multi-scale decision tables. By constructing the identification matrix on multi-scale, the properties of the identification matrix are put forward, and the relationship between the matrix and the optimal scale reduction is given. A fast algorithm for optimal scale reduction is presented by combining the identification matrix with graph theory. Finally, the effectiveness of the proposed algorithm is verified via numerical experiments.
作者
金铭
陈锦坤
JIN Ming;CHEN Jin-kun(School of Mathematics and Statistics,Minnan Normal University,Zhangzhou 363000,Fujian,China;Fujian Key Laboratory of Granular Computing and Applications,Minan Normal University,Zhangzhou 363000,Fujian,China)
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2022年第6期74-83,共10页
Journal of Shandong University(Natural Science)
基金
国家自然科学基金资助项目(62076116,11871259)
福建省自然科学基金资助项目(2020J01792,2021J02049,2021J01979)
闽南师范大学高级别项目(L11802)。
关键词
协调多尺度决策表
决策辨识矩阵
最优尺度约简
图论
consistent multi-scale decision table
decision identification matrice
optimal scale reduction
graph theory
