摘要
针对在一个形式背景中以区间集为底集,考虑一个属性集(对象集)拥有的对象集(属性集)和不拥有的对象集(属性集)的知识表述而进行知识提取的问题,采取将区间集概念与三支决策、经典半概念相结合的方法,产生AE-区间集半概念和OE-区间集半概念两种形式的三支区间集半概念,同时发现AE-区间集半概念与OE-区间集半概念的纯双布尔代数结构。进一步深入讨论可知,AE-区间集半概念可分为AE1-区间集半概念与AE2-区间集半概念,利用粗糙集理论分别挖掘与AE1-区间集半概念和AE2-区间集半概念有关的近似算子的结构性质,对偶地可得OE-区间集半概念的相关结果。所得三支区间集半概念拓广了已有的三支决策集分别与区间集概念和半概念相结合的相关成果,成为一个新的知识表述。
In response to the problem of knowledge extraction in a formal context,which took interval-set as the background set and considered the knowledge expression of the object set(attribute set)owned by an attribute set(object set)and the object set(attribute set)not owned by an attribute set(object set),the method of combining interval-set concept with three-way decision and classical semiconcept was adopted,resulting in two types of three-way interval-set semiconcept:AE-interval-set semiconcept and OE-interval-set semiconcept.Meanwhile,pure double Boolean algebraic structures were explored for the two new types of interval-set semiconcept,respectively.Further discussion revealed that AE-interval-set semiconcept could be divided into AE1-interval-set semiconcept and AE2-interval-set semiconcept.Rough set theory was applied into mining the constructions and properties relative to approximation operators of AE1-interval-set semiconcept and AE2-interval-set semiconcept,respectively.Dually,the relevant results for OE-interval-set semiconcept were obtained.The obtained three-way interval-set semiconcept generalized the existing results relative to the combination of three-way decision and interval-set or that of three-way decision and semiconcept.Therefore,three-way interval-set semiconcept became a new form to express knowledge.
作者
毛华
牛振华
马经泽
王刚
张植明
杨兰珍
MAO Hua;NIU Zhenhua;MA Jingze;WANG Gang;ZHANG Zhiming;YANG Lanzhen(School of Mathematics and Information Science,Hebei University,Baoding 071002,China;Hebei Key Laboratory of Machine Learning and Computational Intelligence,Baoding 071002,China)
出处
《郑州大学学报（理学版）》
CAS
北大核心
2024年第6期84-90,共7页
Journal of Zhengzhou University:Natural Science Edition
基金
国家自然科学基金项目(61572011)。
关键词
形式概念分析
半概念
三支决策
区间集概念
近似算子
formal concept analysis
semiconcept
three-way decision
interval-set concept
approximation opeartor
