山西大学学报（自然科学版）2025，Vol.48Issue(1)：89-100,12.DOI:10.13451/j.sxu.ns.2024152
不完备决策背景下对象导出三支概念格的规则提取
Rule Acquisition Based on Object-induced Three-way Concept Lattice in Incomplete Formal Decision Context
摘要
Abstract
Rule extraction plays an important role in formal concept research,while three-way formal concept analysis represents a significant advancement in the development of formal concept analysis theory.Considering that current research on three-way for-mal concept analysis does not adequately address incomplete formal contexts,this paper delves into the issue of extracting decision rules from object-induced three-way concept lattices under incomplete decision contexts.Firstly,the optimistic and pessimistic deci-sion contexts of incomplete decision contexts are characterized and the detailed relations between three-way concepts in these two contexts are then provided.The extraction of the three-way concept lattice and decision rules for both optimistic and pessimistic deci-sion objects are subsequently presented.Finally,the relationships in rule acquisition among object-induced three-way concept lattic-es,optimistic object-induced three-way concept lattices and pessimistic object-induced three-way concept lattices are discussed.The study concluded that in an incomplete decision context,the set of object-induced three-way positive rules is identical to the set of pessimistic object-induced three-way positive rules,and that the decision approximate concept lattice is finer than the decision con-cept lattice in a pessimistic context.These findings provide valuable theoretical support for the study of three-way concept lattices and rule extraction in contexts involving incomplete information.关键词
不完备决策背景/规则提取/对象导出三支概念格/乐观型/悲观型Key words
incomplete formal decision context/rule acquisition/object-induced three-way concept lattice/optimistic/pessimistic分类
信息技术与安全科学引用本文复制引用
王田燕,万仁霞,苗夺谦,赵杰..不完备决策背景下对象导出三支概念格的规则提取[J].山西大学学报（自然科学版）,2025,48(1):89-100,12.基金项目
国家自然科学基金(62066001) （62066001）
宁夏科技领军人才项目(2022GKLRLX08) （2022GKLRLX08）
宁夏自然科学基金(2021AAC03203) （2021AAC03203）
