计算机工程与应用 ›› 2012, Vol. 48 ›› Issue (14): 148-151.

• 数据库、信号与信息处理 • 上一篇    下一篇

双向迁移概率PS-粗糙集模型及应用

赵艳君,张春英   

  1. 河北联合大学 理学院,河北 唐山 063009
  • 出版日期:2012-05-11 发布日期:2012-05-14

Model and application of bidirectional transfer probabilistic PS-rough sets

ZHAO Yanjun, ZHANG Chunying   

  1. College of Science, Hebei United University, Tangshan, Hebei 063009, China
  • Online:2012-05-11 Published:2012-05-14

摘要: 在粗糙集基础上,既考虑集合[X]的动态特性,又考虑知识库中的统计信息,构建了概率近似空间上的双向迁移PS-粗糙集模型,讨论了PS-粗糙集的性质及相关定理,证明了PS-粗糙集是S-粗糙集和Z.Pawlak粗糙集的进一步扩展,S-粗糙集和Z.Pawlak粗糙集是PS-粗糙集的特例。与S-粗糙集相比,PS-粗糙集的动态集合[X*]的近似精度得到相对提高,从而提高了决策精度。通过实例验证了PS-粗糙集的有效性。

关键词: S-粗糙集, 双向迁移概率PS-粗糙集, 概率近似空间

Abstract: On the basis of rough sets, by considering both the dynamic characteristics of the set [X] and the statistics information in the knowledge database, this paper constructs bidirectional transfer probabilistic PS-rough sets model, discusses properties and theorems of PS-rough sets, proves that PS-rough sets is the further extension of S-rough sets and Z. Pawlak rough sets, S-rough sets and Z. Pawlak rough sets are the special cases of PS-rough sets. Comparing with S-rough sets, the approximation quality of the dynamic set [X*] in PS-rough sets is relatively increased and then the decision accuracy is improved. The efficiency of PS-rough sets is shown by an example.

Key words: S-rough sets, bidirectional transfer probabilistic PS-rough sets, probabilistic approximation space