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基于差别矩阵的属性核快速更新算法
Fast updating algorithm of computation of a core based on discernibility matrix
【摘要】 核求解是粗糙集理论的重要内容之一,尽管在核求解问题上已有大量的研究成果,但有关核更新算法的报道却不多.有人提出一种在对象增加情况下核的增量式更新算法,但未讨论对象动态删除的情况.对此,提出一种基于差别矩阵的属性核快速更新算法——FUAC.该算法在更新差别矩阵时仅需删除某一行及某一列,或插入某一行,因而可有效提高核的更新效率.理论分析表明,该算法是有效可行的.
【Abstract】 Computing a core is one of important parts researched in rough set theory.Many algorithms have been proposed for the computation of a core.However,little work has been done in updating of a core.So an incremental updating algorithm of the computation of a core based on discernibility matrix is introduced,which only focuses on the case of inserting and don’t concern with that of deleting.Therefore,a fast updating algorithm for computing an attributes core based on discernibility matrix is proposed,which only deletes an old row and the corresponding column,or inserts a new row when updating the decernibility matrix.The updating efficiency of a core is improved.Theoretical analysis shows the feasiblity and the effectiveness of the proposed algolithm.
【Key words】 Rough set; Discernibility matrix; Core; Updating; Attributes reduction;
- 【文献出处】 控制与决策 ,Control and Decision , 编辑部邮箱 ,2007年04期
- 【分类号】TP18
- 【被引频次】17
- 【下载频次】225