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

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

M.S. Students Supervised

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