决策形式背景上区间集概念格的属性约简  

Attribute Reductions of Interval-Set Concept Lattices for Decision Formal Contexts

作　　者：马建敏[1] 胡玲玲 MA Jianmin;HU Lingling(Department of Mathematics and Information Sciences,School of Sciences,Chang＇an University,Xi＇an 710064)

机构地区：[1]长安大学理学院数学与信息科学系,西安710064

出　　处：《模式识别与人工智能》2018年第7期581-590,共10页Pattern Recognition and Artificial Intelligence

基　　金：国家自然科学基金项目(No.10901025;11501048;61772019;61603278)资助~~

摘　　要：将区间集思想引入决策形式背景,研究决策形式背景上的区间集概念格及其属性约简方法.首先在决策形式背景上建立条件区间集概念格和决策区间集概念格,引入这两个区间集概念格之间的加细,给出协调决策形式背景上的区间集协调集及约简的定义,讨论区间集协调集的判定方法.通过在决策形式背景上定义可辨识区间集属性矩阵,给出寻找决策形式背景上区间集约简的方法.A concept of interval set is introduced into decision formal contexts to study attribute reduction of interval-set concept lattices. Firstly, the conditional and decision interval-set concept lattices are constructed, and a refinement between them is also introduced. Then, the interval-set consistent set and interval-set reduction are defined. Furthermore, the corresponding approaches for judging the interval-set consistent sets are shown. By introducing the discernibility interval-set attribute matrix, methods for obtaining the interval-set attribute reductions are given.

关 键 词：区间集概念格 协调决策形式背景 区间集协调集 可辨识区间集属性矩阵 区间集约简 

分 类 号：TP181[自动化与计算机技术—控制理论与控制工程]