摘要
三支概念分析是将三支决策思想引入形式概念分析而产生的数据分析与知识发现的新工具.由于三支概念从同一角度刻画正、负两方面信息,语义较为严格,致使其在团队合作等实际问题中应用受限.针对此问题,本文利用区间集将必然算子与可能算子进行融合,定义必然-可能三支算子,并探讨其性质,进而将半概念的思想引入三支概念分析,提出必然-可能半三支概念,并研究其代数结构.必然-可能半三支概念可实现信息的多角度刻画,拓宽了三支概念的语义.
Three-way concept analysis,a combination of formal concept analysis and three-way decision,is a new tool for data analysis and knowledge discovery.Three-way concept has strict semantics and describes positive information and negative information from the same perspective,which limit its applications in practical problems,such as teamwork.Based on that,by combining necessity operator and possibility operator,necessity-possibility three-way operators are firstly defined by using interval set in this paper,and their properties are researched.Further,necessity-possibility semi-three-way concepts are proposed through introducing the thought of semiconcept into three-way concept analysis,and their algebraic structures are also studied.Necessity-possibility semi-three-way concepts can describe information from multi-perspective,which extends the semantics of three-way concept.
作者
魏玲
王振
祁建军
任睿思
WEI Ling;WANG Zhen;QI Jianjun;REN Ruisi(School of Mathematics, Northwest University, Xi'an 710127, China;School of Computer Science and Technology, Xidian University, Xi'an 710071, China;Institute of Concepts, Cognition and Intelligence, Northwest University, Xi'an 710127, China)
出处
《西南师范大学学报（自然科学版）》
CAS
2022年第4期12-20,共9页
Journal of Southwest China Normal University(Natural Science Edition)
基金
国家自然科学基金项目(12171392,62006190)
陕西省自然科学基础研究计划项目(2021JM-141).
关键词
三支概念分析
必然-可能半三支概念
必然算子
可能算子
three-way concept analysis
necessity-possibility semi-three-way concept
necessity operator
possibility operator
