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关于主成分分析综合评价函数质疑的讨论 被引量:3

Discussion on the Query of the Comprehensive Evaluation Function of the Principal Component Analysis
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摘要 主成分分析综合评价是国内较流行的一种综合评价方法,这里对主成分分析综合评价函数的五个质疑或断言,用主成分分析模型、主成分分析综合评价的合理性条件进行了讨论,结果:主成分分析综合评价函数是果,主成分及其包含的信息是因,不能用它们包含的信息比较后推断,因果关联的它们既应分别深入分析,又应结合分析,效果会更好.并结合实例说明:具有合理性条件的主成分分析综合评价改进步骤,更具有合理性和有效性. The comprehensive evaluation of principal component analysis is a popular comprehensive evaluation method.Five questions or assertions about the comprehensive evaluation function of principal component analysis are discussed by using the principal component analysis model and the reasonable conditions of the comprehensive evaluation of principal component analysis.Then these conclusions are given:The comprehensive evaluation function of principal component analysis is the result,the principal component and the information it contains are the cause.It's not appropriate that comparing the information contained in them,we can infer that the mutual cause and effect of them should not only be analyzed in depth,but also be combined with analysis,and the effect will be better.Combined with an example,it shows that the improvement steps of PCA comprehensive evaluation with reasonable conditions are more reasonable and effective.
作者 石立 林海明 SHI Li;LIN Hai-ming(Huashang College,Guangdong University of Finance and Economics,Guangzhou 511300,China)
出处 《数学的实践与认识》 北大核心 2020年第14期312-320,共9页 Mathematics in Practice and Theory
基金 广东省高等教育2018年“创新强校”专项资金(HS2018CXQX26)。
关键词 主成分分析 综合评价函数 质疑 讨论 改进 principal component analysis comprehensive evaluation function query discussion improvement
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