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基于信息熵和差别矩阵的属性约简方法

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针对无决策属性的信息系统,定义了无决策属性的差别矩阵,利用商空间理论下信息熵的计算方法,提出了一种"空不变"无决策属性约简方法.该方法从属性约简的本质出发,将属性造成等价类发生改变的可能性数值化,进而实现属性约简.通过实例验证了方法的有效性,并通过与已有方法的对比和实验结果分析,进一步证实了该方法能更准确地识别出关键属性,完成属性约简.
Attribute reduction method based on information entropy and discernibility matrix
For the information system without decision attributes,the difference matrix without decision attributes is defined,and a"empty invariant"reduction method without decision attributes is proposed by u-sing the calculation method of information entropy under the quotient space theory.Starting from the essence of attribute reduction,the probability of attribute causing the change of the equivalent class is quantified,and then the attribute reduction is realized.The effectiveness of the method is verified by examples,and the com-parison with the existing methods and the analysis of experimental results further confirm that the method can more accurately identify the key attributes and complete the attribute reduction.

without decision attributesinformation entropy under quotient space theorydifferential matrixattribute reduction

姚美红、胡原平、阎红灿

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华北理工大学 理学院,河北 唐山 063210

河北省数据科学与应用重点实验室,河北 唐山 063210

无决策属性 商空间理论下信息熵 差别矩阵 属性约简

2024

陕西理工大学学报(自然科学版)
陕西理工学院

陕西理工大学学报(自然科学版)

影响因子:0.425
ISSN:2096-3998
年,卷(期):2024.40(4)