| 摘要: |
| 形式背景的属性约简是形式概念分析的重要研究方向。针对形式背景人们提出了多种属性约简标准并建立了属性约简方法。本文研究形式背景基于对象导出三支概念格的约简问题,通过刻画对象之间的区分属性提出了一种新的粒约简计算方法,该方法无需构造基于对象导出的三支概念格；并证明了基于三支概念格的形式背景粒约简与基于粗糙集理论的分类约简等价。 |
| 关键词: 形式背景,对象导出三支概念格,粒约简,分类约简 |
| DOI： |
| 投稿时间：2018-05-03修订日期：2018-05-04 |
| 基金项目: |
|
| The way of granular reduction in formal context based on objects-induced three-way concept lattices |
| 1 |
| (1) |
| Abstract: |
| The attribute reduction in the formal context is an important topic of formal concept analysis. Several kinds of attribute reductions in formal context have been put forward. This paper is devoted to the study of the reduction in formal context based on objects-induced three-way concept lattices. A new approach for granular reduction is proposed by using discernibility attributes of the objects. In this new approach of granular reduction, the objects-induced three-way concept lattices needs not to be constructed. Furthermore, it is proved that objects-induced three-way concept lattice based granular reduction and rough set based classification reduction are equivalent. |
| Key words: Formal context, objects-induced three-way concept lattice, granular reduction, classification reduction |