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基于区分函数与强等价集理论的属性约简算法

Attributes Relative Reduction Approach Based on Discernibility Function and Strong Compressible Set Theory

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【作者】 陶志许宝栋赵春元

【Author】 TAO Zhi~(1,2), XU Bao-dong~1,ZHAO Chun-yuan~3 (1.School of Information Science & Engineering, Northeastern University, Shenyang 110004,China; 2.Shenyang Institute of Aeronautical Engineering, Shenyang 110034, China; 3.Shenyang Institute of Engineering, Shenyang 110036, China)

【机构】 东北大学信息科学与工程学院沈阳工程学院 辽宁沈阳110004沈阳航空工业学院辽宁沈阳110034辽宁沈阳110004辽宁沈阳110036

【摘要】 提出了基于区分函数与强等价集理论的属性相对约简算法。在决策表的相对约简过程中采用区分矩阵来表达知识,并在区分函数的化简过程中引进强等价集的概念,通过去除强等价集的方法,使约简效率提高。现在已经证明,寻找决策表最小相对约简是典型的NP_hard问题,采用本文所提供的算法可降低问题复杂度,同时又可节省大量的计算存储空间。通过实例分析,证明该算法是求解全部属性相对约简的快速有效的方法。

【Abstract】 A kind of attributes relative reduction approach based on discernibility function and strong compressible set is proposed. In the process of relative reduction of decision table, knowledge is expressed by discernibility matrix. The concept of strong compressible set is introduced when discernibility function reduced.Efficiency of the reduction is improved by means of eliminating strong compressible set. It is shown that finding the minimal reduction of a decision table is an NP_hard problem. By the approach of this paper, the complicated degree of the problem could be reduced and a great deal of memory space is saved. The practical results show that the approach is quick and effective in solving all reduction of decision table.

【基金】 国家自然科学基金资助项目(70171056);国家重点科技攻关资助项目(975620107)
  • 【文献出处】 中山大学学报(自然科学版) ,Acta Scientiarum Naturalium Universitatis Sunyatseni , 编辑部邮箱 ,2004年02期
  • 【分类号】O144
  • 【被引频次】6
  • 【下载频次】122
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