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Information granularity is an approache to measuring uncertainty of an information system in granular computing. Partial order relations are often used to characterize the monotonicity of an uncertainty measure. In this paper, we focus on a generalized partial relation ≤' with set-size character to information systems, and prove that three existing partial relations (≤1, ≤2 and ≤3) are all its special...
Attribute reduction is one of the important topics in the research on rough set theory, it plays an important role in machine learning and data mining. However, is the decision performance of a decision table changed after an attribute reduction? In this paper, we analyze the change of the decision performance through using the positive-region reduction and the Shannon entropy reduction. The change...
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