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用Critic赋权法加权邻域粗糙集的属性约简算法

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邻域粗糙集相比经典粗糙集能够处理非离散型数据和高维度数据,具有获得简化数据且不降低数据处理的能力。针对邻域粗糙集中每个属性具有相同权重,且每个属性对决策的影响程度不同的问题,提出用Critic赋权法加权邻域粗糙集的属性约简算法。使用Critic赋权法为条件属性赋权,引入加权距离函数计算邻域关系,得到加权邻域关系;构建加权邻域粗糙集,采用属性依赖度和重要度评估子集的重要性,使用等距搜索寻找最佳阈值,进行属性约简找到最优属性子集;采用UCI库中的 10个数据集进行实验验证,与传统邻域粗糙集的属性约简算法的性能进行比较分析。实验结果表明:所提算法可得到最小属性约简集,并可保证约简后数据的分类准确率,具有有效性和实际应用价值。
An attribute reduction algorithm of weighting neighborhood rough sets with Critic method
Compared with classical rough sets,neighborhood rough sets can process non-discrete and high-dimensional data,and get simplified data without reducing the ability of data processing.An attribute reduction approach of weighting neighborhood rough sets using the Critic method is proposed,aiming at the problem that every attribute in neighborhood rough sets has the same weight and every attribute has varied influence on decision making.Firstly,the Critic method is used to weigh the conditional attributes,the weighted distance function is introduced to calculate the neighborhood relationship,and then the weighted neighborhood relationship is obtained.Secondly,the weighted neighborhood rough sets are constructed,the attribute dependency and importance are used to evaluate the importance of the subset,the isometric search is used to find the best threshold,attribute reduction is carried out,and the optimal attribute subset is found.Finally,the experimental verification is carried out with 10 data sets in the UCI database,and the performance of the attribute reduction algorithm is compared with that of traditional neighborhood rough sets.The outcomes of the experiment demonstrate that the algorithm is able to guarantee the classification accuracy of the reduced data in addition to obtaining the minimum attribute reduction set.It has effectiveness and practical application value.

Critic methodneighborhood rough setattribute reductionweighted neighborhood relationshipattribute dependence degree

吴尚智、任艺璇、葛舒悦、王立泰、王志宁

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西北师范大学计算机科学与工程学院,兰州 730070

国家税务总局武安市税务局,邯郸 056300

Critic赋权法 邻域粗糙集 属性约简 加权邻域关系 属性依赖度

2025

北京航空航天大学学报
北京航空航天大学

北京航空航天大学学报

北大核心
影响因子:0.617
ISSN:1001-5965
年,卷(期):2025.51(1)