Algebras of approximating regions (Q2729673)

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scientific article; zbMATH DE number 1623195
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Algebras of approximating regions
scientific article; zbMATH DE number 1623195

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    24 January 2002
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    rough sets
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    approximating region
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    approximating algebra
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    Boolean algebra
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    double Stone algebra
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    ordered structures
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    Algebras of approximating regions (English)
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    This paper deals with an algebraic foundation for the intuitive notion of ``approximating region'', based on three assumptions which are fulfilled in the important example of screen resolution. It has been shown that the class of approximation algebras is definitionally equivalent to the class of regular double Stone algebras. A way to define ``approximately in contact'' and ``approximately part-of'' is suggested.
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