简单闭包空间与形式背景的联系  

Connection between simple clousure space and formal contexts

作　　者：张文娟 ZHANG Wenjuan(School of Mathematics and Statistics,Minnan Normal University,Zhangzhou Fujian 363000,China)

机构地区：[1]闽南师范大学数学与统计学院,福建漳州363000

出　　处：《闽南师范大学学报（自然科学版）》2021年第2期13-21,共9页Journal of Minnan Normal University：Natural Science

基　　金：国家自然科学基金资助项目(11871259)。

摘　　要：结合概念格中交不可约元的概念,探讨简单闭包空间与形式背景的联系.首先,根据简单闭包空间与知识空间的对偶性,定义知识基的对偶集A,在此基础上,研究合取模型下技能约简的实质.其次,在技能背景中提出交不可约元的概念,论证A与交不可约元一致性.然后,阐述技能约简的本质与形式背景中保持最小交式生成组的约简相同.最后,给出技能约简的方法.It combines the concpet of intersectional irreducible elements in concept lattices,and the connection between simple clousure space and formal contexts is discussed.Firstly,based on the duality of simple closure space and knowledge space,the dual of knowledge baseAis defined,on this basis,the essence of skill reduction based on conjunctive model is studied.Secondly,the concept of irreducible elements of skill contexts is presented,the consistence between A and intersectional irreducible elements is demonstrated.and then,the essence of the skill reduction under the conjunctive skillmap is the same as the reduction of the formal contexts with theminimum intersecting generation group is elaborated.Finally,a method of skill reduction is given.

关 键 词：简单闭包空间 知识空间 形式概念分析 交不可约元 知识基 

分 类 号：TP182[自动化与计算机技术—控制理论与控制工程]