信息系统上的优势关系与保序关系

Dominance Relation and Keeping-order Relation

经典的Pawlak粗集理论建立在由等价关系对对象集划分的基础上,本文研究由优势关系代替等价关系引起的一系列结果.优势关系生成对象集上的覆盖;保序关系生成对象集幂集上的划分.并得到了优势约简与保序约简之间的关系.

The classical Rough Set Theory is based on the U′s partition by equivalent relation. A series of results induced by dominance relation instead of equivalent relation are researched. Dominance relation induces a cover of U, while keeping-order relation induces a partition of U′s power set. The relation between the two kinds of reductions is presented.