南京大学学报（自然科学版）2023，Vol.59Issue(6)：1048-1058,11.DOI:10.13232/j.cnki.jnju.2023.06.014
面向灰色区间的三支概念分析
Three-way concept analysis for grey interval
摘要
Abstract
In recent years,three-way concept analysis has emerged as an effective tool for knowledge representation and data analysis.However,it currently struggles to handle"known scope,unknown interior"grey interval information.In order to solve the lattice problem of grey interval data in three-way concept analysis theory,this paper explores three-way concept analysis based on a grey data background by utilizing upper and lower membership degrees of grey sets to represent the relationship between objects and attributes.By incorporating the relevant theory of grey mathematics,we introduce grey three-way concept analysis and grey three-way concept lattice,and then investigate their properties and theorems.Through compelling examples,we demonstrate the efficacy and feasibility of the proposed approach.Our findings offer a practical solution for leveraging three-way concept analysis theory to handle complex and uncertain information,overcoming the constraints associated with interval grey information in three-way concept analysis.关键词
灰数/灰集合/灰色区间/三支概念分析/灰色三支概念Key words
grey number/grey set/grey interval/three-way concept analysis/grey three-way concept分类
数理科学引用本文复制引用
孟茜,万仁霞,苗夺谦,赵公杰..面向灰色区间的三支概念分析[J].南京大学学报（自然科学版）,2023,59(6):1048-1058,11.基金项目
国家自然科学基金(61662001,61662001),中央高校基本科研业务费专项资金(FWNX04),宁夏自然科学基金(2021AAC03203) （61662001,61662001）
