对偶区间集概念格上区间集协调集的判定方法  

Judgment Methods of Interval-set Consistent Sets of Dual Interval-set Concept Lattices

作　　者：郭庆春 马建敏[1] GUO Qing-chun;MA Jian-min(Department of Mathematics and Information Science,Chang’an University,Xi’an 710064,China)

机构地区：[1]长安大学理学院数学与信息科学系

出　　处：《计算机科学》2020年第3期98-102,共5页Computer Science

基　　金：国家自然科学基金(61772019,61603278,71701021)~~

摘　　要：对偶区间集概念格是将区间集引入到对偶概念格产生的,它将对偶概念的外延与内涵从经典集合推广到区间集,使之成为一种描述不确定性概念的数学方法。而属性约简是数据挖掘的核心内容之一,是一种研究概念格本质特征的方法,它通过删除冗余属性使数据表中概念的获取与表示变得更简洁。文中主要研究对偶区间集概念格上区间集协调集的判定方法。首先基于对偶区间集概念格的同构,引入了区间集协调集,给出了对偶区间集概念格上区间集协调集的一系列判定定理,进而讨论了利用区间集协调集获取区间集属性约简的方法。The dual interval-set concept lattice is generated by introducing the interval set into the dual concept lattice.It extends the extension and intension of the dual concept from the classical sets to the interval sets,which makes it to be a mathematical tool to describe uncertain concepts.As one of the core topics of data mining,attribute reduction is a method to study the essential characteristics of concept lattice.It simplifies the representation of the concept by removing redundant attributes.This paper mainly discussed the judgment approaches of the interval-set consistent sets of the dual interval-set concept lattices.Firstly,based on the isomorphisim for the structure of the dual interval-set concept lattices,interval-set consistent sets were defined,and a series of judgment theorems were then investigated for the dual interval-set concept lattices.Then,the method about obtaining attribute reduction interval-set by using the interval-set consistent set was described.

关 键 词：区间集 对偶概念格 对偶区间集概念格 属性约简 区间集协调集 

分 类 号：TP182[自动化与计算机技术—控制理论与控制工程]