Baoding Liu, Ph.D.
Professor
Uncertainty Theory Laboratory
Department of Mathematical Sciences
Tsinghua University
Beijing 100084, China

Tel: +86.10.6278.7724   liu@tsinghua.edu.cn    http://orsc.edu.cn/liu

Ph.D. Students Supervised

  1. Ruiqing Zhao, 1999.9-2002.6, "Reliability Optimization Theory in Uncertain Environments and its Applications". (Professor of Tianjin University)
  2. Jinwu Gao, 1999.9-2004.12, "Models and Algorithms of Uncertain Multilevel Programming". (Associate Professor of Renmin University of China)
  3. Yian-Kui Liu, 2000.3-2003.1, "Optimization Theory of Twofold Uncertain Systems with Fuzziness and Randomness". (Professor of Hebei University)
  4. Jian Zhou, 2000.3-2003.6, "Mathematical Theory of Bifuzzy Variable and Applications". (Profesor of Shanghai University)
  5. Jin Peng, 2001.3-2003.12, "Birandom Theory and Birandom Optimization". (Professor of Huanggang Normal University)
  6. Hua Ke, 2001.9-2006.6, "Models and Algorithms of Project Scheduling Problem". (Associate Professor of Tongji University)
  7. Yuanguo Zhu, 2002.9-2004.6, "Some Mathematical Structures for Random Fuzzy Variables". (Professor of Nanjing University of Science and Technology)
  8. Xiaoyu Ji, 2002.9-2006.6, "Some Network Optimization Problems in Uncertain Environment". (Associate Professor of Renmin University of China)
  9. Lixing Yang, 2002.9-2005.6, "Mathematical Properties for Fuzzy Random Variables". (Professor of Beijing Jiao-Tong University)
  10. Linzhong Liu, 2003.9-2006.6, "The Models and Algorithms of Some Optimal Problems in Fuzzy Environment". (Professor of Lanzhou Jiao-Tong University)
  11. Meilin Wen, 2003.9-2008.6, "Data Envelopment Analysis in Fuzzy Environment". (Associate Professor of Beihang University)
  12. Xin Gao, 2004.9-2009.6, "Uncertain Measures and Its Applications". (Associate Professor of North China Electric Power University)
  13. Wei Dai, 2004.9-2010.9, "Maximum Entropy Principle in Uncertainty Theory". (Associate Professor of Central University of Finance and Economics)
  14. Xiang Li, 2004.9-2008.6, "Chance Measure and its Applications". (Professor of Beijing University of Chemical Engineering)
  15. Cuilian You, 2005.9-2008.6, "Existence and Uniqueness of Solutions for Fuzzy Differential Equations". (Associate Professor of Hebei University)
  16. Zhongfeng Qin, 2005.9-2009.6, "Fuzzy Models and Methods for Finance". (Professor of Beihang University)
  17. Xiaowei Chen, 2007.9-2011.6, "Uncertain Calculus with Finite Variation Processes". (Associate Professor of Nankai University)
  18. Zixiong Peng, 2007.9-2012.7, "Complex Uncertain Variable". (Lecturer of Central University of Finance and Economics)
  19. Yuan Gao, 2008.9-2013.7, "Uncertain Graph and Uncertain Network". (Associate Professor of Beijing Jiao-Tong University)
  20. Kai Yao, 2009.9-2013.7, "Uncertain Calculus with Uncertain Renewal Process". (Associate Professor of University of Chinese Academy of Sciences)
  21. Yuhong Sheng, 2012.9-2015.7, "Uncertain Random Network Optimization". (Associate Professor of Xinjiang University)
  22. Xiangfeng Yang, 2014.9-2017.1, "Uncertain Heat Conduction Equation". (Lecturer of University of International Business & Economics)
  23. Rong Gao, 2014.9-2017.7, "Uncertain Wave Equation". (Lecturer of Hebei University of Technology)
  24. Lifen Jia, 2017.9-, in process.
  25. Waichon Lio, 2018.9-, in process.
  26. Tingqing Ye, 2018.9-, in process.
  27. Yang Liu, 2018.9-, in process.

M.S. Students Supervised

  1. Qiang Lu, 1996.9-1999.6, "Risk Analysis of Rocket Engine's Development and Production".
  2. Xujun Wang, 1996.9-1999.6, "Fuzzy VERT and Optimization in Project Management".
  3. Jie Zhong, 1998.9-2001.6, "Critical Path Problems in Uncertain Environments".
  4. Haishan Ling, 1998.9-2001.6, "Hybrid Intelligent Algorithms for Solving Fuzzy Programming with Fuzzy Decisions".
  5. Guorui Miao, 1999.9-2002.1, "Optimal Models and Algorithms for Construction Project Investment".
  6. Jinwu Gao, 1999.9-2004.12, "Models and Algorithms of Uncertain Multilevel Programming".
  7. Gang Wang, 2000.9-2003.6, "Some Theorems on Fuzzy Sequence Convergence".
  8. Xiaohu Yang, 2001.9-2004.1, "Rough Location-Allocation Problem with Application to Compressed Natural Gas Stations". (Associate Professor and Vice Dean, Weinan Teachers University)
  9. Qiping Gu, 2001.9-2004.1, "Location-Allocation Problem with Optimal Inventory and Stochastic Demand".
  10. Hua Ke, 2001.9-2006.6, "Models and Algorithms of Project Scheduling Problem".
  11. Yu Jiang, 2001.9-2003.6, "Analysis of Fuzzy Inventory Models".
  12. Pingke Li, 2002.9-2005.6, "The Entropy of Fuzzy Variables". (Associate Professor, Tsinghua University)
  13. Yongshuang Zheng, 2002.9-2005.6, "Fuzzy Vehicle Routing Model with Time Windows and its Intelligent Algorithm".
  14. Meilin Wen, 2003.9-2008.6, "The Ranking Criteria in Data Envelopment Analysis".
  15. Meng Wang, 2003.9-2006.6, "Scheduling Problems in Fuzzy Environment".
  16. Guanghe Zhao, 2003.9-2006.6, "Reliability Problems of Fuzzy Redundancy Systems with both Parallel and Standby Redundancy".
  17. Xin Gao, 2004.9-2009.6, "Uncertain Measures and Its Applications".
  18. Wei Dai, 2004.9-2010.9, "Maximum Entropy Principle in Uncertainty Theory".
  19. Xiang Li, 2004.9-2008.6, "Expected Values of Hybrid Variables".
  20. Yaodong Ni, 2004.9-2006.6, "Edge Covering Problem under Uncertain Environments". (Professor of University of International Business & Economics)
  21. Xiaopeng Li, 2004.9-2006.6, "Obstacle Location-Allocation Problem in Fuzzy Environment".
  22. Yiwen Lu, 2004.9-2006.6, "Degree-Constrained Minimum Spanning Tree Problem under Uncertain Environments".
  23. Xiaofeng Gao, 2004.9-2006.6, "Topological Optimization Models for Reliable Network under Fuzziness". (Lecturer, Shanghai Jiaotong University)
  24. Zhongfeng Qin, 2005.9-2009.6, "Option Pricing Problems for Fuzzy Financial Market".
  25. Zhe Cao, 2005.9-2007.6, "Multiplant Production Planning Problem with Distributions under Hybrid Environments".
  26. Fei Li, 2005.9-2007.6, "Vehicle Routing Problem with Time Windows under Hybrid Uncertainty of Fuzziness and Randomness".
  27. Na Sun, 2005.9-2007.6, "Assignment Problems in Hybrid Environments".
  28. Yueshan Yu, 2006.9-2008.6, "Credibilistic Equilibria in Extensive Game with Fuzzy Payoffs".
  29. Xiaowei Chen, 2007.9-2011.6, "Uncertain Calculus with Finite Variation Processes".
  30. Zixiong Peng, 2007.9-2012.7, "Complex Uncertain Variable".
  31. Yang Zuo, 2007.9-2010.6, "Uncertain Dominance and its Application".
  32. Yuan Gao, 2008.9-2013.7, "Uncertain Graph and Uncertain Network".
  33. Zhuo Wang, 2008.9-2010.6, "The Application of Uncertainty Theory in Structural Reliability".
  34. Qingwen Ni, 2008.9-2011.6, "Uncertain Programming Model for Machine Scheduling Problem".
  35. Kai Yao, 2009.9-2013.7, "Uncertain Calculus with Uncertain Renewal Process".
  36. Youlei Xu, 2010.9-2012.6, "Research on Winner Determination Problem with an Ant Colony Optimization Algorithm".
  37. Yanshneg Zhang, 2013.9-2015.6, "Portfolio Selection based on Uncertain Cross-Entropy".
  38. Yuanyuan Shen, 2013.9-2015.6, "Machine Scheduling Problem under Uncertain Environment".
  39. Dengya Jiao, 2013.9-2015.6, "Uncertain Programming Model for Vehicle Routing Problem".
  40. Waichon Lio, 2016.9-2018.6, "Uncertain Data Envelopment Analysis with Imprecisely Observed Inputs and Outputs".