Covering Upper Approximations of Rough Sets and Closure Mappings

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Nguyen Duc Thuan

Abstract

This paper presents some basic properties of reduction and covering upper approximation of Rough sets. Three kinds of covering
rough set have studied: Semi-reduced, Pointwise-covered and Unary. Some conditions for two covers generating the same covering lower and
upper approximations and relationship between closure mappings and three types of upper covering approximation are identical.

 

Keywords: rough set, covering upper approximation, semi-reduced, pointwise-covered, unary, closure mapping

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