Zuyuan Liu is chief professor of shipbuilding and ocean engineering at Wuhan University of Technology, China. He is director of the Key Laboratory of High Performance Ship Technology of the Ministry of Education, vice chairman of the China Shipbuilding Engineering Society, executive director of the China Shipbuilding Industry Association, and member of the Ship Mechanics Committee; member of the academic committee of the National Key Laboratory of Dynamics.Xiao Wei works at China Ship Development and Design Center, Wuhan, China.Baiwei Feng and Haichao Chang are faculties at School of Naval Architecture, Ocean and Energy Power Engineering, Wuhan University of Technology, China.

• Chapter 1 Introduction.- Chapter 2 Classification of the uncertainty.- Chapter 3 Analytical transfer of aleatory uncertainty.- Chapter 4 Modelling of epistemic uncertainty.- Chapter 5 Mixed uncertainty analysis and propagation method.- Chapter 6 Hull form optimisation under mixed uncertainty.

Zuyuan Liu is chief professor of shipbuilding and ocean engineering at Wuhan University of Technology, China. He is director of the Key Laboratory of High Performance Ship Technology of the Ministry of Education, vice chairman of the China Shipbuilding Engineering Society, executive director of the China Shipbuilding Industry Association, and member of the Ship Mechanics Committee; member of the academic committee of the National Key Laboratory of Dynamics.Xiao Wei works at China Ship Development and Design Center, Wuhan, China.Baiwei Feng and Haichao Chang are faculties at School of Naval Architecture, Ocean and Energy Power Engineering, Wuhan University of Technology, China.

• Chapter 1 Introduction.- Chapter 2 Classification of the uncertainty.- Chapter 3 Analytical transfer of aleatory uncertainty.- Chapter 4 Modelling of epistemic uncertainty.- Chapter 5 Mixed uncertainty analysis and propagation method.- Chapter 6 Hull form optimisation under mixed uncertainty.

Zuyuan Liu is chief professor of shipbuilding and ocean engineering at Wuhan University of Technology, China. He is director of the Key Laboratory of High Performance Ship Technology of the Ministry of Education, vice chairman of the China Shipbuilding Engineering Society, executive director of the China Shipbuilding Industry Association, and member of the Ship Mechanics Committee; member of the academic committee of the National Key Laboratory of Dynamics.Xiao Wei works at China Ship Development and Design Center, Wuhan, China.Baiwei Feng and Haichao Chang are faculties at School of Naval Architecture, Ocean and Energy Power Engineering, Wuhan University of Technology, China.

• Chapter 1 Introduction.- Chapter 2 Classification of the uncertainty.- Chapter 3 Analytical transfer of aleatory uncertainty.- Chapter 4 Modelling of epistemic uncertainty.- Chapter 5 Mixed uncertainty analysis and propagation method.- Chapter 6 Hull form optimisation under mixed uncertainty.