保持规则前件信息的概念约简

Concept reduction preserving antecedent information of rules

该文将形式背景上保持二元关系不变的概念约简扩展到决策形式背景,在弱协调决策形式背景上,研究保持规则前件信息的概念约简问题。首先,根据决策形式背景获得规则,仅考虑规则前件集合中的二元关系将条件子背景进行压缩,构造前件背景;其次,针对前件背景提出保持规则前件信息的概念约简,借助代表概念矩阵给出概念协调集的判定定理;最后,根据概念在概念约简中所起的作用,将所有概念分成3类,并从最小代表概念矩阵的角度讨论3类概念的概念特征。

This paper extends the concept reduction in formal context to formal decision context,and studies the concept reduction preserving antecedent information of rules in weakly consistent formal decision context.Firstly,the conditional subcontext is compressed to form the antecedent context by only considering the binary relation in the antecedent of the rules of formal decision context.Then,we propose the concept reduction preserving antecedent information of rules for the antecedent context,and give the judgment theorem of concept consistent set by representative concept matrix.Finally,we classify all formal concepts into three parts according to the role of each formal concept in concept reduction,and discuss the concept characteristics of three types of formal concepts from the perspective of the minimal representative concept matrix.