一种新的概念格结构——区间概念格  

New Concept Lattice Structure——Interval Concept Lattice

作　　者：刘保相[1] 张春英[1] 

机构地区：[1]河北联合大学理学院,唐山063009

出　　处：《计算机科学》2012年第8期273-277,共5页Computer Science

基　　金：河北省自然科学基金项目(A2011209046);国家自然基金项目(61170317)资助

摘　　要：对经典概念格、粗糙概念格的分析表明,其概念外延或者具有全部属性,或者只具备一个属性,从而造成所提取关联规则支持度和可信度严重下降。为此提出一种新的概念格结构——区间概念格Lαβ(Mα,Mβ,Y),其概念外延是区间[α,β](0≤α≤β≤1)范围内满足内涵属性的对象集。证明了当α=β=1时,区间概念格退化为经典概念格;当β=1,α>0时,区间概念格退化为粗糙概念格;其次,给出了区间概念格中概念度量的精度、覆盖度等概念,并给出了相关性质;接着,证明了区间概念格具有的一些独特性质;然后,初步给出了构造区间概念格的方法;最后,通过实例证明了区间概念格提出的必要性和实用性。Analysis of classic concept lattice and rough concept lattice shows that concept extension with either all the attributes or only one attribute can decrease support and confidence of the extracted association rules greatly.To solve this problem,the author put forward a new concept of lattice structure：interval concept lattice Lαβ（Mα,Mβ,Y）,in which the concept extension is object sets that meet the intension property in the interval0≤α≤β≤1.Firstly,it was proved that interval concept lattice degenerates into classic concept lattice when α=β=1,and when β=1,α〉0,interval concept lattice degenerates into rough concept lattice.Secondly,the measurement precision and coverage of interval concept lattice concepts were given and some related properties were discussed.Thirdly,some unique properties of interval concept lattice were proved.Fourthly,the construction method of interval concept lattice was preliminary provided.Finally,the necessity and practicability were verified through a case study.

关 键 词：概念格 粗糙概念格 区间概念格 概念精度 

分 类 号：TP182[自动化与计算机技术—控制理论与控制工程]