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分层多尺度决策信息系统的序贯三支决策

刘芳 李磊军 米据生 李美争

南京大学学报(自然科学版)2023,Vol.59Issue(6):981-995,15.
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

刘芳 1李磊军 2米据生 2李美争3

作者信息

  • 1. 河北师范大学数学科学学院,石家庄,050024
  • 2. 河北师范大学数学科学学院,石家庄,050024||河北省计算数学与应用重点实验室,石家庄,050024
  • 3. 河北师范大学计算机与网络空间安全学院,石家庄,050024
  • 折叠

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)

南京大学学报(自然科学版)

OA北大核心CSCDCSTPCD

0469-5097

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