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The Logical Properties of Lower and Upper Approximation Operations in Rough Sets
粗集中上下近似运算的逻辑性质

Keywords: Topological boolean algebra,Closure topological boolean algebra,Rough set relation condition
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,上下近似运算,逻辑性质,布尔代数

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Abstract:

In this paper,we discuss the logical properties of rough sets through topological boolean algebras and closure topological boolean algebras.We get representation theorems of finite topological boolean algebras and closure topological boolean algebras under the upper-lower relation condition,which establish the relationship between topological boolean algebras or closure topological boolean algebras and rough sets in the general sets are similar to the Stone's representation theorem of boolean algebras.

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