By introducing the variable precision rough set and multi-granulations rough set in the incomplete information system, the variable precision multi-granulation rough sets based on similarity relation is proposed, and the properties of variable precision multi-granulation approximation is discussed. Then, the reduction problem of the variable precision multi-granulation rough sets based on similarity relation is discussed, and heuristic algorithm of the attribute reduction based on the significant attributes is proposed. Finally, results of the experiments show the effectiveness of the approach.%在不完备信息系统中基于相似关系,引入了可变精度和多粒度粗糙集,进而提出一种基于相似关系的变精度多粒度粗糙集模型.研究了基于相似关系的变精度多粒度粗糙集的相关性质和关系.随后讨论了基于相似关系交精度多粒度粗糙集的约简问题,提出了一种基于属性重要度的启发式分布约简算法,实例分析的结果验证了该方法的可行性.
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