Boundary region-based rough sets and uncertainty measures in the approximation space
作者： Zhouming Ma , Jusheng Mi
DOI: 10.1016/J.INS.2016.07.040
关键词: Applied mathematics 、 Mathematical analysis 、 Approximation operators 、 Operator theory 、 Boundary region 、 Binary relation 、 Mathematics 、 Equipollence 、 Partition (number theory) 、 Rough set 、 Control and Systems Engineering 、 Theoretical computer science 、 Software 、 Information Systems and Management 、 Artificial intelligence 、 Computer Science Applications
摘要: The approximation operators play an important role in rough set theory, which are mainly defined by means of neighborhood systems. In this paper, firstly, we try to propose a class novel definitions the via predefined boundary region based on binary relation. Then compare proposed concepts with originals, necessary and sufficient conditions their equipollence investigated. Secondly, give covering. By employing boundary, covering proposed. It is shown that equivalent introduced Zakowski. Thirdly, relationship between general relations coverings investigated aid region. Finally, more reasonable characterizations accuracy roughness operators. Meanwhile, study uncertainty measures spaces partition
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