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

机译:解决粗糙集的奥秘:拓扑和粗糙集之间的联系

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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:在对复杂现象建模时,简化和理想化是必不可少的。通常,在分析所得的抽象模型时,也需要近似其数学成分。本简要说明的主要目的是阐明经典的逼近方法与在粗糙集文献中出现的最新建议之间的关系。特别地,将解释标准拓扑概念和粗糙集理论的基本概念之间的关系。

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