决策形式背景属性约简的关系

Relationships among Several Attribute Reduction Methods of Decision Formal Context

形式背景的属性约简是形式概念分析的重要研究方向。针对决策形式背景,已有多种属性约简标准及属性约简方法。文中研究了相关属性约简方法之间的关系,从形式概念的角度给出了规则协调集的等价描述方法;证明了强协调决策形式背景中的规则协调集为协调集,粒协调决策形式背景中的规则协调集为粒协调集。

The attribute reduction in the formal context is an important topic of formal concept analysis.Several kinds of attribute reduction in decision formal context have been put forward.This paper was devoted to the study of the relationships among reduction,granular reduction and rule based reduction.An equivalent depiction of rule based consistent set was provided by using formal concepts.It is shown that the rule based consistent set in strong consistent formal context is a consistent set,and the rule based consistent set in granular consistent formal context is a granular consistent set.