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The presented global sensitivity indices can reasonably reflect the influence of fuzzy-valued distribution parameters on the character of the failure probability, whereas solving the MFs of unconditional and conditional failure probability is time-consuming due to the involved multiple-loop sampling and optimization operators. To overcome the large computational cost, a single-loop simulation (SLS) is introduced to estimate the global sensitivity indices. By establishing a sampling probability density, only a set of samples of input variables are essential to evaluate the MFs of unconditional and conditional failure probability in the presented SLS method. Significance of the global sensitivity indices can be verified and demonstrated through several numerical and engineering examples.<\/jats:p>","DOI":"10.1155\/2014\/490718","type":"journal-article","created":{"date-parts":[[2014,7,15]],"date-time":"2014-07-15T17:05:56Z","timestamp":1405443956000},"page":"1-11","source":"Crossref","is-referenced-by-count":1,"title":["Global Sensitivity Analysis of Fuzzy Distribution Parameter on Failure Probability and Its Single-Loop Estimation"],"prefix":"10.1155","volume":"2014","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0584-4128","authenticated-orcid":true,"given":"Lei","family":"Cheng","sequence":"first","affiliation":[{"name":"School of Aeronautics, Northwestern Polytechnical University, P.O. Box 120, Xi\u2019an, Shaanxi 710072, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhenzhou","family":"Lu","sequence":"additional","affiliation":[{"name":"School of Aeronautics, Northwestern Polytechnical University, P.O. 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