基于形式背景的属性约简关系

基于形式背景，提出面向属性的概念格的粒协调集及粒约简的概念，给出面向属性的粒协调集判定定理，并借助区分属性给出面向属性的粒约简计算方法，讨论了形式背景的粒约简、面向属性的粒约简以及分类约简之间的关系，证明了面向属性的粒协调集都是分类协调集。最后以实例说明相关约简的计算方法。

The Relationships Among Several Attribute Reduction Methods of Formal Context

The notions of granular consistent set and granular reduction in the formal context with respect to attribute oriented concept lattice are proposed in this paper. The judgment theorem for granular consistent set is provided and the granular reduction method is presented by using discernible attributes between objects. Furthermore, the relationships among granular reduction, attribute oriented granular reduction and classification reduction were investigated. It is shown that the attribute oriented granular consistent sets are classification consistent sets. An example was presented to illustrate the related reduction methods.