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Construction mechanism of whitenization weight function and its application in grey clustering evaluation

机译：白化权函数的构建机制及其在灰色聚类评估中的应用

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摘要

The clustering evaluation can be used to scientifically classify the objects to be evaluated according to the information aggregation of various evaluation rules. In grey weighted clustering evaluation, the index clustering rule relies on the construction of the whitenization weight function, while the existing construction method of the linear function lacks the construction mechanism analysis and validity explanation. A normative construction principle is put forward by analyzing the construction mechanism of the function. Through proving the normative principle of the function, the basic modal function (BMF) is proposed and characterized by different function forms. Then, a new type of the whitenization weight function and its grey clustering evaluation model algorithm are given by studying the mechanism and nature of the construction of different forms of the function. Finally, the comparative study for self-innovation capability of defense science and technology industry (DSTI) is taken as an example. The results show that the different construction ways of the function have an effect on the clustering result. The proposed construction mechanism can better explain the index clustering rules and evaluation effectiveness, which will perfect the theoretical system of grey clustering evaluation and be applied to practice effectively.
机译：聚类评估可用于根据各种评估规则的信息汇总对要评估的对象进行科学分类。在灰色加权聚类评估中，指标聚类规则依赖于白化权重函数的构造，而现有的线性函数构造方法缺乏构造机理分析和有效性解释。通过分析功能的构造机理，提出了规范的构造原理。通过证明函数的规范原理，提出了基本模态函数（BMF），并以不同的函数形式进行了表征。然后，通过研究不同形式函数的构造机理和性质，给出了一种新型的白化权重函数及其灰色聚类评估模型算法。最后，以国防科技工业自主创新能力的比较研究为例。结果表明，该函数的不同构造方式对聚类结果有影响。提出的构建机制可以更好地解释指标聚类规则和评价有效性，将完善灰色聚类评价的理论体系，并有效地应用于实践。

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