类传递关系下的广义粗糙集及其公理化

摘要

提出了正向类传递与反向类传递二元关系,分别考虑了基于这两种二元关系的广义粗糙集,探讨了它们各自的性质,给出了相应粗糙近似算子的公理化特征.分析了这两类广义粗糙集与其它相关二元关系下广义粗糙集之间的联系,得到了一些重要的结果.%This paper presented the defintions of positive similar transitive and negative similar transitive binary relation, considered the generalized rough sets based on these two kinds of binary relations, analyzed their properties, respectively, also gave the corresponding axiomatic characterizations. Finally, we investigated the correlations between these two kinds relations and other relations-based generalized rough sets. Some important conclusions were achieved.