Global sensitivity analysis for fuzzy inputs based on the decomposition of fuzzy output entropy. Issue 6 (3rd June 2018)

• Record Type: Journal Article
• Authors: Shi, Yan; Lu, Zhenzhou; Zhou, Yicheng
• Is Part Of: Engineering optimization. Volume 50:Issue 6(2018)
• Page Start: 1078
• Page End: 1096
• Publication Date: 2018-06-03
• Subjects: Global sensitivity analysis -- fuzzy entropy decomposition -- fuzzy output decomposition -- fuzzy entropy conversion -- fuzzy uncertainties; Engineering design -- Periodicals; Mathematical optimization -- Periodicals; 620.0042
• DOI: 10.1080/0305215X.2017.1359585
• Languages: English
• ISSNs: 0305-215X

Abstract

ABSTRACT: 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.