Inverse Possibility Analysis Method for Possibility-Based Design Optimization

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Reliability-based design optimization with confidence level under input model uncertainty due to limited test data (2011, methodology): “To deal with problems under physical and statistical uncertainties, the possibility-based design optimization (PBDO) that uses fuzzy sets to quantify the uncertain quantities has been proposed (Du and Choi 2008; Du et al. 2006).”
An inverse analysis method for design optimization with both statistical and fuzzy uncertainties (2008, methodology): “The inverse analysis method based on the PMA is found to be very effective for RBDO and PBDO (Choi et al. 2005a, b; Du et al. 2006; Du and Choi 2006; Youn et al. 2001, 2004, 2005a, b; Youn and Choi 2004).”
Reliability-based structural optimization with probability and convex set hybrid models (2010, methodology): “…as the fuzzy possibility model (Mourelatos and Zhou 2005; Du et al. 2006a), the fuzzy/statistical hybrid model (Möller and Beer 2004; Buckley 2005; Du et al. 2006b; Du and Choi 2008) and the convex model (Ben-Haim and Elishakoff 1990; Elseifi et al. 1999), have also been developed as alternative…”