基于等价关系的混合多粒度粗糙集

Hybrid Multigranulation Rough Sets Based on Equivalence Relations

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。

Based 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.By using the partitions in hybrid multigranulation space,the target concept was approximated and then the concept of hybrid multigranulation rough set was proposed.Not only the basic properties about hybrid multigranulation rough set were explored,but also it was proven that hybrid multigranulation rough set is a generalization of both optimistic and pessimistic multigranulation rough sets.