南京大学学报(自然科学版) ›› 2012, Vol. 48 ›› Issue (2): 164171.
陈玉明**,吴克寿,孙金华
Chen Yu-Ming ,Wu Ke- Shou,Sun Jin -Hua
摘要: 粗糙集理论是一种新的处理不精确、不完全与不一致数据的数学理论工具,决策表属性约简是粗糙集理论研究的核心内容之一针对决策表最小属性约简穷举算法时间复杂度较高问题,从改变决
策表属性约简问题的知识表示入手,在决策表中引入树的表示方式,定义幂树表示约简问题空间,给出了旋转和回溯两种剪枝搜索方法.进一步针对决策表提出了基于幂树的最小属性约简完备性算法,该算
法在幂树空间中进行穷举搜索,同时采用了旋转和回溯剪枝策略,提高了完备性算法的搜索效率,分析了算法的时间与空间复杂度,指出了完备性最小属性约简算法复杂度的指数级别特点.理论分析和实例
表明该方法是有效可行的.
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