计算机科学 ›› 2012, Vol. 39 ›› Issue (8): 273-277.

• 人工智能 • 上一篇    下一篇

一种新的概念格结构——区间概念格

刘保相,张春英   

  1. (河北联合大学理学院 唐山063009)
  • 出版日期:2018-11-16 发布日期:2018-11-16

New Concept Lattice Structure——Interval Concept Lattice

  • Online:2018-11-16 Published:2018-11-16

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,其概念外延是区间范围内满足内涵属性的对象集。证明了当a=B=1时,区间概念格退化为经典概念格;当B=1,a>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。

关键词: 概念格,粗糙概念格,区间概念格,概念精度

Abstract: 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,in which the concept extension is object sets that meet the intension property in the interval. Firstly, it was proved that interval concept lattice degenerates into classic concept lattice when , 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.

Key words: Concept lattice, Rough concept lattice, Interval concept lattice, Concept precision

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