Uncertainty measure of rough sets based on a knowledge granulation for incomplete information systems

Authors: Junhong Wang, Jiye Liang, Yuhua Qian, Chuangyin Dang

Abstract:

Rough set theory is a relatively new mathematical tool for computer applications in circumstances characterized by vagueness and uncertainty. In this paper, we address uncertainty of rough sets for incomplete information systems. An axiom definition of knowledge granulation for incomplete information systems is obtained, under which a measure of uncertainty of a rough set is proposed. This measure has some nice properties such as equivalence, maximum and minimum. Furthermore, we prove that the uncertainty measure is effective and suitable for measuring roughness and accuracy of rough sets for incomplete information systems.

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Uncertainty measure of rough sets based on a knowledge granulation for incomplete.pdf

Wed Nov 19 14:05:00 CST 2008