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Solving the Mystery of Rough Sets: Links between Topologies and Rough Sets

机译:解决粗糙集的谜团:拓扑和粗糙集之间的链接

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摘要

When modeling complex phenomena, simplifications and idealizations are indispensable. When analyzing the resulting abstract models, approximations of their mathematical constituents are, as a rule, also needed. The main aim of this brief note is to clarify relations between the classic approach to set approximations and recent proposals appearing hi the literature on rough sets. In particular, relations between the standard topological concepts and basic concepts of rough set theory will be explained.
机译:在建模复杂现象时,简化和理想化是必不可少的。在分析所产生的抽象模型时,还需要其数学成分的近似,也是一个规则。本简要说明的主要目的是阐明经典方法之间的关系,以在粗糙集上出现近似文学的近似和最近的建议。特别是,将解释标准拓扑概念与粗糙集理论的基本概念之间的关系。

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