Probability-Based Multi-objective Optimization for Material Selection

Chapter 1 Introduction
It introduces the general idea of multiple objective optimization in material selection, the status of the applications of multiple objective optimization in material selection, the previous methods and their shortcomings, etc.

Chapter 2 Probability-Based Multi-Objective Optimization and Applications
It describes the general idea of probability-based multiple objective optimization, the basis of theoretic meaning in probability theory, the algorithm, and the features, etc. Applications of materials selection, and some other applications in more broader and general issues are given.

Chapter 3 Extension in Condition of the Utility with Interval Number
It describes the extension of probability-based multiple objective optimization in condition of the utility with interval number, some applications of materials selection are given.

Chapter 4 Extension in Condition of the Utility with Desirable Value
It describes the extension of probability-based multiple objective optimization in condition of the utility with desirable value, some applications of materials selection are given.

Chapter 5 Combination of Probability-Based Multi-Objective Optimization with Test Design Methods
It describes the combination of probability-based multi-objective optimization with test design methods, such as orthogonal test design and uniform experimental design. Some applications of materials selection are given.

Chapter 6 Application of Regression Analysis in the Probability-Based Multi-Objective Optimization
Regression analysis is applied to the probability-based multi-objective optimization, it provides a more accurate prediction, especially for test design methods. Some applications of materials selection are given.

Chapter 7 Concluding Remarks
Conclusion of this book and reviewing the up-to-date progress.

Dr. Maosheng Zheng received his Bachelor's degree in Theoretical Physics from Northwest University, Xi'an, China, in 1983, Master's degree in Electronic Physics from Xidian University, Xi'an, China, in 1985, and Ph.D. degree in Materials Science and Engineering from Northwestern Polytechnic University, Xi'an, China, in 1992. From June 1994 to June 2006, Dr. Zheng has been in School of Materials Science and Engineering, Xi'an Jiaotong University, as Professor, and since June 2006, Dr. Zheng has been in School of Chemical Engineering, Northwest University, as Professor. 

Dr. Zheng focuses on the research of Materials Science and Technology. His recent research interests include material selection with multi-objective optimization, material technology, energy resource material and technology, renewable energy conversion and utilization, etc. Till 2022, Dr. Zheng has published 3 monographs (first authored 2 monographs, Springer; 1 co-authored, Science Press) more than 300 peer-reviewed papers in international journals and conferences and chaired "863" project and many projects of Sci. & Tech. Ministry and Shaanxi Province of China. He is Member of China Energy Society, Vice Chairman of Shaanxi Corrosion and Protection Society, and served as Reviewer of several international journals. He was Recipient of State Council special allowance, second prize of Science and Technology Progress Award of China Aviation Industry Corporation, third prize of Science and Technology Progress Award of the Ministry of Education, second prize of Huo Yingdong Young Teacher (Research), The 2nd Youth Science and Technology Award of Shaanxi Province, and second prize of the Natural Science Award of China Higher Education, respectively.  

Jie Yu received her Bachelor's degree in Polymer Science and Technology from Northwestern Polytechnic University, Xi'an, China, in 1987. From July 1987 to December 1992, Yu worked at Xi'an