In this paper,a novel definition of entropy is introduced. It is used for measuring the uncertainty of roughness of knowledge in tolerant rough sets. In addition ,we prove that the entropy of knowledge decreases monot...In this paper,a novel definition of entropy is introduced. It is used for measuring the uncertainty of roughness of knowledge in tolerant rough sets. In addition ,we prove that the entropy of knowledge decreases monotonously as the granularity of information becomes smaller. Then,a new reduction algorithm based on entropy is developed.Simulation results show that the algorithm can find the minimal reduction in most cases.展开更多
文摘In this paper,a novel definition of entropy is introduced. It is used for measuring the uncertainty of roughness of knowledge in tolerant rough sets. In addition ,we prove that the entropy of knowledge decreases monotonously as the granularity of information becomes smaller. Then,a new reduction algorithm based on entropy is developed.Simulation results show that the algorithm can find the minimal reduction in most cases.
