计算机科学 ›› 2012, Vol. 39 ›› Issue (11): 165-169.

• 人工智能 • 上一篇    下一篇

基于等价关系的混合多粒度粗糙集

杨习贝,窦慧莉,杨静宇   

  1. (江苏科技大学计算机科学与工程学院 镇江212003);(南京理工大学计算机科学与技术学院 南京210094)
  • 出版日期:2018-11-16 发布日期:2018-11-16

Hybrid Multigranulation Rough Sets Based on Equivalence Relations

  • Online:2018-11-16 Published:2018-11-16

摘要: 以基于等价关系诱导的划分为基础,提出了混合多粒度空间的概念,以便研究同时具有析取和合取关系的多 粒度空间。利用混合多粒度空间中的划分对目标概念进行近似逼近,提出了混合多粒度粗糙集模型。讨论了混合多 粒度粗糙集模型的基本性质,证明了混合多粒度粗糙集是乐观和悲观多粒度粗糙集的广义化表现形式。

关键词: 多粒度粗糙集,混合多粒度空间,混合多粒度粗糙集

Abstract: Bascd on the partitions generated from the equivalence relations, the concept of hybrid multigranulation space was proposed to study the multigranulation space with both disjunction and conjunction. 13y using the partitions in hy- brid multigranulation space, the target concept was approximated and then the concept of hybrid multigranulation rough about hybrid set was proposed. Not only the basic properties multigranulation rough set were explored, but also it was proven that hybrid multigranulation rough set is a generalization of both optimistic and pessimistic multigranulation sets.

Key words: Multigranulation rough set, Hybrid multigranulation space, Hybrid multigranulation rough set

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