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基于超立方體與信息熵的離散化方法

Discretization algorithm based on super-cube and information entropy

  • 摘要: 針對粗糙集中連續屬性需要離散化問題進行了研究.根據數據對象的可分辨性原理構造超立方體,在數據空間上對信息表中的連續屬性進行整體離散化處理.根據條件屬性與決策屬性的一致性關系,依照條件屬性在粗糙集邊界域中的分類能力來確定條件屬性的重要性,在此基礎上選取重要劃分點對信息表中的連續屬性進行局部離散化,同時以信息熵作為迭代約束條件.數值示例和實驗表明這種整體與局部相結合的離散化方法是有效可行的.

     

    Abstract: Discretizing continuous attributes in a rough set were researched. Based on the concept of super-cube, all attributes of the information table in data space were globally discretized. By the consistent correlation of condition attributes and decision attributes, important condition attributes were selected depending on their classifying ability in the rough set boundary zone, and furthermore, important breaking points were selected to discretize the information table on a single attribute locally with the iterative constraints of information entropy. Illustration and experimental results indicate that the algorithm combining the global and local discretization is effective and efficient.

     

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