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一种新的研究区间不确定性传播方法

王琳茹 常安定

西安工程大学学报2016,Vol.30Issue(3):405-410,6.
西安工程大学学报2016,Vol.30Issue(3):405-410,6.DOI:10.13338/j.issn.1674-649x.2016.03.023

一种新的研究区间不确定性传播方法

A novel approach to interval uncertainty propagation

王琳茹 1常安定2

作者信息

  • 1. 西安市八一民族中学,陕西 西安 710108
  • 2. 长安大学 理学院,陕西 西安 710064
  • 折叠

摘要

Abstract

Uncertainty and its propagation issues exist in many practical problems.However, traditional optimization methods have the limitation on accuracy and efficiency.A new method is proposed for the study of interval uncertainty propagation mechanism:D-S evidence theory is used to research the expression of epistemic uncertainty,polynomial chaos expansion technique to quantify the uncertainty in the response of random variables,and the polynomial is converted to Bernstein form.Finally,the range of response by using the Bernstein polynomial coefficients is identified.A study of closed D-S structure on the interval propagation thought a nonlinear function shows the advantage on the interval uncertainty propagation compared with the tradi-tional optimization method and verifies its effectiveness of the proposed method.

关键词

D-S 证据理论/混沌多项式展开/区间不确定性传播

Key words

D-S theory of evidence/polynomial chaos expansion/interval uncertainty propaga-tion

分类

数理科学

引用本文复制引用

王琳茹,常安定..一种新的研究区间不确定性传播方法[J].西安工程大学学报,2016,30(3):405-410,6.

基金项目

陕西省科技计划资助项目(2015JM1022) (2015JM1022)

西安工程大学学报

1674-649X

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