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Rough set theory, proposed by Pawlak, has been proved to be a mathematical tool to deal with vagueness and uncertainty in intelligent information processing. In this paper, we propose the concept of knowledge granulation in interval-valued information systems, and discuss some important properties. From these properties, it can be shown that the proposed knowledge granulation provides important approaches...
A novel generalized relation is proposed in this paper to discover the knowledge of an interval-valued information system more objective based on the concept of interaction rates, which are the length of the intersection between two objects divided by the length of the first object according to an attribute. So, the two interaction rates between two objects are usually different. The generalized relation...
In this paper, the concept of alpha-maximal consistent blocks is proposed to formulate the new rough approximations to an arbitrary object set in interval-valued information systems. The alpha-maximal consistent blocks can provide the simpler discernibility matrices and discernibility functions in reduction of interval-valued information systems. This means that they can provide a more efficient computation...
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