Proceedings of the 2017 5th International Conference on Frontiers of Manufacturing Science and Measuring Technology (FMSMT 2017)

A hybrid uncertainty analysis method based on random set theory

Authors
Yongsheng Duan, Jiguang Zhao, Peng Chen
Corresponding Author
Yongsheng Duan
Available Online April 2017.
DOI
https://doi.org/10.2991/fmsmt-17.2017.34How to use a DOI?
Keywords
Hybrid uncertainty; Risk assessment; Random set theory; D-S evidence theory; Extension principle
Abstract
In view of the fact that hybrid uncertainty presentation and propagation with dissonance or imprecision information in risk assessment, a variable steps size discrete random set method is proposed. Various types of incomplete and inaccurate information were transformed to random set formation by the proposed framework. A hybrid uncertainty propagation model is built based on random extension principle, the lower and upper CDF of outputs are calculated. In order to decrease dissonance between uncertainty parameters, D-S evidence combination principle is used to merge the collision information. Variable step size parameter discretization strategy was proposed based on ADM and ODM for reducing the truncated tail relative errors. In conclusion,take the response of a mass-spring-damper system acted on by a harmonic forcing an example, the effectiveness and feasibility of the proposed method is validated.
Open Access
This is an open access article distributed under the CC BY-NC license.

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Cite this article

TY  - CONF
AU  - Yongsheng Duan
AU  - Jiguang Zhao
AU  - Peng Chen
PY  - 2017/04
DA  - 2017/04
TI  - A hybrid uncertainty analysis method based on random set theory
BT  - Proceedings of the 2017 5th International Conference on Frontiers of Manufacturing Science and Measuring Technology (FMSMT 2017)
PB  - Atlantis Press
SP  - 164
EP  - 170
SN  - 2352-5401
UR  - https://doi.org/10.2991/fmsmt-17.2017.34
DO  - https://doi.org/10.2991/fmsmt-17.2017.34
ID  - Duan2017/04
ER  -