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首页> 外文期刊>Applied Mathematical Modelling >A novel method for non-probabilistic convex modelling based on data from practical engineering
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A novel method for non-probabilistic convex modelling based on data from practical engineering

机译：基于实际工程数据的非概率凸建模新方法

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摘要

In this paper, a novel method for non-probabilistic convex modelling with the bounds to precisely encircle all the data of uncertain parameters extracted from practical engineering is developed. The method is based on the traditional statistical method and the correlation analysis technique. Mean values and correlation coefficients of uncertain parameters are first calculated by utilizing the information of all the given data. Then, a simple yet effective optimization procedure is first introduced in the mathematical modelling process for uncertain parameters to obtain their precise bounds. This procedure works by optimizing the area of the convex model, at the same time, covering all the given data. Thus, the effective mathematical expression of the convex models are finally formulated. To test the prediction capability and generalization ability of the proposed convex modelling method, evaluation criteria, i.e. volume ratio, standard volume ratio, and prediction accuracy are established. The performance of the proposed method is systematically studied and compared with other existing competitive methods through test standards. The results demonstrate the effectiveness and efficiency of the present method.
机译：本文提出了一种新的非概率凸建模方法，该方法可以精确地包围从实际工程中提取的不确定参数的所有数据。该方法基于传统的统计方法和相关分析技术。首先利用所有给定数据的信息来计算不确定参数的平均值和相关系数。然后，首先在数学建模过程中引入了一种简单而有效的优化程序，用于不确定参数以获得其精确范围。该过程通过优化凸模型的面积，同时覆盖所有给定数据而起作用。因此，最终形成了凸模型的有效数学表达式。为了测试所提出的凸建模方法的预测能力和泛化能力，建立了评估标准，即体积比，标准体积比和预测精度。系统地研究了该方法的性能，并通过测试标准将其与其他现有竞争方法进行了比较。结果证明了本方法的有效性和效率。

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  • 来源
    《Applied Mathematical Modelling》 |2020年第4期|516-530|共15页
  • 作者

  • 作者单位

    State Key Laboratory of Advanced Design and Manufacture for Vehicle Body Hunan University Changsha Hunan 410082 China;

    Center for Research on Leading Technology of Special Equipment School of Mechanical and Electric Engineering Guangzhou University Guangzhou 510006 China;

    State Key Laboratory of Advanced Design and Manufacture for Vehicle Body Hunan University Changsha Hunan 410082 China Center for Research on Leading Technology of Special Equipment School of Mechanical and Electric Engineering Guangzhou University Guangzhou 510006 China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Bounds of uncertainties; Evaluation criterion; Non-probabilistic convex modelling; Optimization procedure; Uncertainty analysis;

    机译：不确定性的范围;评估标准;非概率凸模型;优化程序;不确定度分析;

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