南京大学学报(自然科学版)2023,Vol.59Issue(6):981-995,15.DOI:10.13232/j.cnki.jnju.2023.06.008
分层多尺度决策信息系统的序贯三支决策
Sequential three-way decision of hierarchical multi-scale decision information system
摘要
Abstract
In traditional information systems,each attribute has only one scale,but with the emergence of massive data,we often deal with and analyze problems on multiple scales in practical applications.Three-way decision(3WD)is a classical method to solve the classification problem.Sequential three-way decision(S3WD)is a method of multi-step decision-making based on 3WD.This paper combines multi-scale decision information system with 3WD.Based on decision-theoretic rough sets(DTRSs),the sequential three-way decision model of hierarchical multi-scale decision information system is proposed.After that,the dynamic positive region,negative region and boundary region can be obtained.The multi-scale decision information system is layered.It is discussed in turn on multiple single-scale decision information systems obtained after stratification,and the sequential structure of the scale level is constructed.On each single-scale decision information system,the attribute subset sequence is obtained by adding attributes,and the multilevel granular structure is induced to construct the sequential structure at the granularity level.For this reason,this paper gives two selection methods for the collection of attribute subsets,and in the S3WD process,the relative loss function is used to calculate the threshold,and the properties of the threshold are discussed.Finally,the classification rules in the S3WD process are given,and an example is given to illustrate that the proposed model can effectively deal with the classification problem.关键词
多尺度信息系统/序贯三支决策/粗糙集/分层/分类Key words
multi-scale information system/sequential three-way decision/rough set/hierarchical/classification分类
信息技术与安全科学引用本文复制引用
刘芳,李磊军,米据生,李美争..分层多尺度决策信息系统的序贯三支决策[J].南京大学学报(自然科学版),2023,59(6):981-995,15.基金项目
国家自然科学基金(61502144,62076088,12101182),河北省自然科学基金(F2018205196),河北省高等学校科学技术研究项目(BJ2019014) (61502144,62076088,12101182)