Abstract: In this paper, a novel rough set model based on concordance relation is presented, which relaxing the indiscernibility and tolerance between objects on the basis of classical and tolerant rough sets. Based on the extended model, a new hierarchical clustering method is developed. The example is given and the result shows that this rough set method is very effective and useful.

摘要： 本文首先在传统的粗糙集模型基础上，通过松弛对象之间的不可分辨和相容性条件，给出了一种基于和谐关系的扩展粗糙集模型；在新模型的基础上，提出了一种新的层次聚类方法；给出一个具体的实例对新的模型加以解释说明。