三支弱协调决策形式背景的规则获取

Rules acquisition on three-way weakly consistent formal decision contexts

规则获取是三支概念分析中的一个重要问题。本文首先基于属性导出三支概念格间的细于关系,定义了三支弱协调的决策形式背景,并给出了基于属性导出三支概念格三支弱协调决策形式背景的规则获取方法。然后,研究了三支规则与二支规则之间的关系。最后,定义了属性导出三支概念的弱闭标记,并利用弱闭标记给出了三支弱协调决策形式背景的规则获取方法,剔除了冗余规则从而简化规则。

Rules acquisition is an important problem in three-way concept analysis. Based on the finer relation on attribute-induced three-way concept lattices,the three-way weakly consistent formal decision context is defined. And the way to acquire rules on threeway weakly consistent formal decision context is presented. Then,the relationship between two-way rules and three-way rules is studied. Finally,the weakly closed label of attribute-induced three-way concept is given,and the weakly closed label is used to extract three-way rules,which can remove the redundant rules.