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Based on the concepts of robustness and reliability design, uncertainty classification, uncertainty modeling, uncertainty analysis and propagation methods were systematically explained, revealing the influence mechanism and rules of multi-source aleatory and epistemic uncertainty on ship design. Finally, a hull form design optimization method with mixed uncertainty was established. The theory of uncertainty design optimization is not yet mature, and this book gives a detailed introduction. The illustrations and tables in this book compared the differences between uncertainty-based optimization and traditional deterministic optimization, reflecting the advantages of uncertainty optimization. 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