Study on covering rough sets with topological methods

• 作者: Liwen Ma Xue Wang
• 来源期刊: 智能技术学报
• 学科: 社会科学
• 关键词: STUDY on COVERING ROUGH SETS TOPOLOGICAL methods different CRT SPACES
• 年，卷（期）: 2019,（3）
• 页码范围: 129-134
• 页数: 6页
• 分类号: G

摘要

The authors study the covering rough sets by topological methods. They combine the covering rough sets and topological spaces by means of defining some new types of spaces called covering rough topological (CRT) spaces based on neighbourhoods or complementary neighbourhoods. As the separation axioms play a fundamental role in general topology, they introduce all these axioms into covering rough set theories and thoroughly study the equivalent conditions for every separation axiom in several CRT spaces. They also investigate the relationships between the separation axioms in these special spaces and reveal these relationships through diagrams in different CRT spaces.