TY - JOUR
T1 - Global sensitivity analysis for fuzzy inputs based on the decomposition of fuzzy output entropy
AU - Shi, Yan
AU - Lu, Zhenzhou
AU - Zhou, Yicheng
N1 - Publisher Copyright:
© 2017 Informa UK Limited, trading as Taylor & Francis Group.
PY - 2018/6/3
Y1 - 2018/6/3
N2 - To analyse the component of fuzzy output entropy, a decomposition method of fuzzy output entropy is first presented. After the decomposition of fuzzy output entropy, the total fuzzy output entropy can be expressed as the sum of the component fuzzy entropy contributed by fuzzy inputs. Based on the decomposition of fuzzy output entropy, a new global sensitivity analysis model is established for measuring the effects of uncertainties of fuzzy inputs on the output. The global sensitivity analysis model can not only tell the importance of fuzzy inputs but also simultaneously reflect the structural composition of the response function to a certain degree. Several examples illustrate the validity of the proposed global sensitivity analysis, which is a significant reference in engineering design and optimization of structural systems.
AB - To analyse the component of fuzzy output entropy, a decomposition method of fuzzy output entropy is first presented. After the decomposition of fuzzy output entropy, the total fuzzy output entropy can be expressed as the sum of the component fuzzy entropy contributed by fuzzy inputs. Based on the decomposition of fuzzy output entropy, a new global sensitivity analysis model is established for measuring the effects of uncertainties of fuzzy inputs on the output. The global sensitivity analysis model can not only tell the importance of fuzzy inputs but also simultaneously reflect the structural composition of the response function to a certain degree. Several examples illustrate the validity of the proposed global sensitivity analysis, which is a significant reference in engineering design and optimization of structural systems.
KW - fuzzy entropy conversion
KW - fuzzy entropy decomposition
KW - fuzzy output decomposition
KW - fuzzy uncertainties
KW - Global sensitivity analysis
UR - http://www.scopus.com/inward/record.url?scp=85027831090&partnerID=8YFLogxK
U2 - 10.1080/0305215X.2017.1359585
DO - 10.1080/0305215X.2017.1359585
M3 - 文章
AN - SCOPUS:85027831090
SN - 0305-215X
VL - 50
SP - 1078
EP - 1096
JO - Engineering Optimization
JF - Engineering Optimization
IS - 6
ER -