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

Baoding Liu received his B.S. degree in 1986 from Nankai University, and his M.S. degree in 1989 and Ph.D. degree in 1993 from Chinese Academy of Sciences. He joined Tsinghua University as Associate Professor in 1996, and was appointed Professor of Mathematics in 1998. Dr. Liu's research led to the development of uncertainty theory that is a branch of axiomatic mathematics for modeling human uncertainty.

1. Academic Career

  1. 1986: B.S., Department of Mathematics, Nankai University, Tianjin
  2. 1989: M.S., Institute of Systems Science, Chinese Academy of Sciences
  3. 1993: Ph.D., Institute of Systems Science, Chinese Academy of Sciences
  4. 1993: Postdoctoral Fellow, Ashikaga Institute of Technology, Japan
  5. 1996: Associate Professor, Tsinghua University, Beijing
  6. 1998: Professor of Mathematics, Tsinghua University, Beijing

2. Books

  1. Liu B, Uncertain Programming, Wiley, New York, 1999.
  2. Liu B, and Esogbue AO, Decision Criteria and Optimal Inventory Processes, Kluwer, Boston, 1999.
  3. Liu B, Theory and Practice of Uncertain Programming, Physica-Verlag, Heidelberg, 2002. The Second Edition was published in 2009. The Russian Version was translated by Yury Tiumentsev and Yury Kaghanov and published by LBZ Publisher, Moscow in 2005.
  4. Liu B, Uncertainty Theory: An Introduction to its Axiomatic Foundations, Springer-Verlag, Berlin, 2004. The Second Edition was published in 2007. The Japanese Verion was translated by K. Iwamura, S. Kitakubo, M. Kageyama and published by WAP in 2008.
  5. Liu B, Uncertainty Theory: A Branch of Mathematics for Modeling Human Uncertainty, Springer-Verlag, Berlin, 2010.

3. Papers

  1. Liu B, and Esogbue AO, Fuzzy criterion set and fuzzy criterion dynamic programming, Journal of Mathematical Analysis and Applications, Vol.199, No.1, 293-311, 1996.
  2. Gen M, Liu B, and Ida K, Evolution program for deterministic and stochastic optimizations, European Journal of Operational Research, Vol.94, No.3, 618-625, 1996.
  3. Liu B, Dependent-chance goal programming and its genetic algorithm based approach, Mathematical and Computer Modelling, Vol.24, No.7, 43-52, 1996.
  4. Liu B, and Iwamura K, Modelling stochastic decision systems using dependent-chance programming, European Journal of Operational Research, Vol.101, No.1, 193-203, 1997.
  5. Liu B, Dependent-chance programming: A class of stochastic optimization, Computers & Mathematics with Applications, Vol.34, No.12, 89-104, 1997.
  6. Liu B, and Iwamura K, Chance constrained programming with fuzzy parameters, Fuzzy Sets and Systems, Vol.94, No.2, 227-237, 1998.
  7. Iwamura K, and Liu B, Chance constrained integer programming models for capital budgeting in fuzzy environments, Journal of the Operational Research Society, Vol.49, No.8, 854-860, 1998.
  8. Liu B, Stackelberg-Nash equilibrium for multilevel programming with multiple followers using genetic algorithms, Computers & Mathematics with Applications, Vol.36, No.7, 79-89, 1998.
  9. Liu B, and Iwamura K, A note on chance constrained programming with fuzzy coefficients, Fuzzy Sets and Systems, Vol.100, Nos.1-3, 229-233, 1998.
  10. Liu B, Minimax chance constrained programming models for fuzzy decision systems, Information Sciences, Vol.112, Nos.1-4, 25-38, 1998.
  11. Liu B, Fuzzy criterion models for inventory systems with partial backorders, Annals of Operations Research, Vol.87, 117-126, 1999.
  12. Liu B, and Odanaka T, Dynamic fuzzy criterion model for reservoir operations and a case study, Computers & Mathematics with Applications, Vol.37, Nos.11-12, 65-75, 1999.
  13. Esogbue AO, and Liu B, Cluster validity for fuzzy criterion clustering, Computers & Mathematics with Applications, Vol.37, Nos.11-12, 95-100, 1999.
  14. Liu B, Dependent-chance programming with fuzzy decisions, IEEE Transactions on Fuzzy Systems, Vol.7, No.3, 354-360, 1999.
  15. Iwamura K, and Liu B, Dependent-chance integer programming applied to capital budgeting, Journal of the Operations Research Society of Japan, Vol.42, No.2, 117-127, 1999.
  16. Liu B, Dependent-chance programming in fuzzy environments, Fuzzy Sets and Systems, Vol.109, No.1, 97-106, 2000.
  17. Liu B, and Iwamura K, Topological optimization models for communication network with multiple reliability goals, Computers & Mathematics with Applications, Vol.39, 59-69, 2000.
  18. Xia Y., Liu B., Wang S., and Lai K.K., A model for portfolio selection with order of expected returns, Computers & Operations Research, Vol.27, 409-422, 2000.
  19. Liu B, Uncertain programming: A unifying optimization theory in various uncertain environments, Applied Mathematics and Computation, Vol.120, Nos.1-3, 227-234, 2001.
  20. Liu YK, and Liu B, The relationship between structural characteristics of fuzzy measure and convergences of sequences of measurable functions, Fuzzy Sets and Systems, Vol.120, No.3, 511-516, 2001.
  21. Liu B, and Iwamura K, Fuzzy programming with fuzzy decisions and fuzzy simulation-based genetic algorithm, Fuzzy Sets and Systems, Vol.122, No.2, 253-262, 2001.
  22. Liu B, Fuzzy random chance-constrained programming, IEEE Transactions on Fuzzy Systems, Vol.9, No.5, 713-720, 2001.
  23. Liu B, Fuzzy random dependent-chance programming, IEEE Transactions on Fuzzy Systems, Vol.9, No.5, 721-726, 2001.
  24. Liu B, Toward fuzzy optimization without mathematical ambiguity, Fuzzy Optimization and Decision Making, Vol.1, No.1, 43-63, 2002.
  25. Liu B, Random fuzzy dependent-chance programming and its hybrid intelligent algorithm, Information Sciences, Vol.141, Nos.3-4, 259-271, 2002.
  26. Liu B, and Liu YK, Expected value of fuzzy variable and fuzzy expected value models, IEEE Transactions on Fuzzy Systems, Vol.10, No.4, 445-450, 2002.
  27. Liu YK, and Liu B, Random fuzzy programming with chance measures defined by fuzzy integrals, Mathematical and Computer Modelling, Vol.36, No.4-5, 509-524, 2002.
  28. Liu B, Inequalities and convergence concepts of fuzzy and rough variables, Fuzzy Optimization and Decision Making, Vol.2, No.2, 87-100, 2003.
  29. Liu YK, and Liu B, Fuzzy random variables: A scalar expected value operator, Fuzzy Optimization and Decision Making, Vol.2, No.2, 143-160, 2003.
  30. Liu YK, and Liu B, Expected value operator of random fuzzy variable and random fuzzy expected value models, International Journal of Uncertainty, Fuzziness & Knowledge-Based Systems, Vol.11, No.2, 195-215, 2003.
  31. Zhou J, and Liu B, New stochastic models for capacitated location-allocation problem, Computers & Industrial Engineering, Vol.45, No.1, 111-125, 2003.
  32. Zhao R, and Liu B, Stochastic programming models for general redundancy optimization problems, IEEE Transactions on Reliability, Vol.52, No.2, 181-191, 2003.
  33. Liu YK, and Liu B, A class of fuzzy random optimization: Expected value models, Information Sciences, Vol.155, Nos.1-2, 89-102, 2003.
  34. Zhao R, and Liu B, Renewal process with fuzzy interarrival times and rewards, International Journal of Uncertainty, Fuzziness & Knowledge-Based Systems, Vol.11, No.5, 573-586, 2003.
  35. Zhao R, and Liu B, Redundancy optimization problems with uncertainty of combining randomness and fuzziness, European Journal of Operational Research, Vol.157, No.3, 716-735, 2004.
  36. Zhou J, and Liu B, Analysis and algorithms of bifuzzy systems, International Journal of Uncertainty, Fuzziness & Knowledge-Based Systems, Vol.12, No.3, 357-376, 2004.
  37. Zhu Y, and Liu B, Continuity theorems and chance distribution of random fuzzy variable, Proceedings of the Royal Society of London Series A, Vol.460, 2505-2519, 2004.
  38. Peng J, and Liu B, Parallel machine scheduling models with fuzzy processing times, Information Sciences, Vol.166, Nos.1-4, 49-66, 2004.
  39. Liu YK, and Liu B, On minimum-risk problems in fuzzy random decision systems, Computers & Operations Research, Vol.32, No.2, 257-283, 2005.
  40. Liu YK, and Liu B, Fuzzy random programming with equilibrium chance constraints, Information Sciences, Vol.170, 363-395, 2005.
  41. Yang L, and Liu B, On inequalities and critical values of fuzzy random variable, International Journal of Uncertainty, Fuzziness & Knowledge-Based Systems, Vol.13, No.2, 163-175, 2005.
  42. Gao J, and Liu B, Fuzzy multilevel programming with a hybrid intelligent algorithm, Computers & Mathematics with Applications, Vol.49, 1539-1548, 2005.
  43. Ke H, and Liu B, Project scheduling problem with stochastic activity duration times, Applied Mathematics and Computation, Vol.168, No.1, 342-353, 2005.
  44. Zhao R, and Liu B, Standby redundancy optimization problems with fuzzy lifetimes, Computers & Industrial Engineering, Vol.49, No.2, 318-338, 2005.
  45. Zhu Y, and Liu B, Some inequalities of random fuzzy variables with application to moment convergence, Computers & Mathematics with Applications, Vol.50, Nos.5-6, 719-727, 2005.
  46. Liu B, A survey of credibility theory, Fuzzy Optimization and Decision Making, Vol.5, No.4, 387-408, 2006.
  47. Esogbue AO, and Liu B, Reservoir operations optimization via fuzzy criterion decision processes, Fuzzy Optimization and Decision Making, Vol.5, No.3, 289-305, 2006.
  48. Zheng Y, and Liu B, Fuzzy vehicle routing model with credibility measure and its hybrid intelligent algorithm, Applied Mathematics and Computation, Vol.176, No.2, 673-683, 2006.
  49. Yang L, and Liu B, On continuity theorem for characteristic function of fuzzy variable, Journal of Intelligent & Fuzzy Systems, Vol.17, No.3, 325-332, 2006.
  50. Li X, and Liu B, A sufficient and necessary condition for credibility measures, International Journal of Uncertainty, Fuzziness & Knowledge-Based Systems, Vol.14, No.5, 527-535, 2006.
  51. Liu B, A survey of entropy of fuzzy variables, Journal of Uncertain Systems, Vol.1, No.1, 4-13, 2007.
  52. Zhu Y, and Liu B, Fourier spectrum of credibility distribution for fuzzy variables, International Journal of General Systems, Vol.36, No.1, 111-123, 2007.
  53. Zhu Y, and Liu B, A sufficient and necessary condition for chance distribution of random fuzzy variables, International Journal of Uncertainty, Fuzziness & Knowledge-Based Systems, Vol.15, Supp.2, 21-28, 2007.
  54. Li X, and Liu B, Maximum entropy principle for fuzzy variables, International Journal of Uncertainty, Fuzziness & Knowledge-Based Systems, Vol.15, Supp.2, 43-52, 2007.
  55. Ke H, and Liu B, Project scheduling problem with mixed uncertainty of randomness and fuzziness, European Journal of Operational Research, Vol.183, No.1, 135-147, 2007.
  56. Peng J, and Liu B, Birandom variables and birandom programming, Computers & Industrial Engineering, Vol.53, No.3, 433-453, 2007.
  57. Zhou J, and Liu B, Modeling capacitated location-allocation problem with fuzzy demands, Computers & Industrial Engineering, Vol.53, No.3, 454-468, 2007.
  58. Liu B, Fuzzy process, hybrid process and uncertain process, Journal of Uncertain Systems, Vol.2, No.1, 3-16, 2008.
  59. Li P, and Liu B, Entropy of credibility distributions for fuzzy variables, IEEE Transactions on Fuzzy Systems, Vol.16, No.1, 123-129, 2008.
  60. Li X, and Liu B, On distance between fuzzy variables, Journal of Intelligent & Fuzzy Systems, Vol.19, No.3, 197-204, 2008.
  61. Liu B, Some research problems in uncertainty theory, Journal of Uncertain Systems, Vol.3, No.1, 3-10, 2009.
  62. Li X, and Liu B, Foundation of credibilistic logic, Fuzzy Optimization and Decision Making, Vol.8, No.1, 91-102, 2009.
  63. Li X, and Liu B, Hybrid logic and uncertain logic, Journal of Uncertain Systems, Vol.3, No.2, 83-94, 2009.
  64. Li X, and Liu B, Chance measure for hybrid events with fuzziness and randomness, Soft Computing, Vol.13, No.2, 105-115, 2009.
  65. Liu B, Uncertain entailment and modus ponens in the framework of uncertain logic, Journal of Uncertain Systems, Vol.3, No.4, 243-251, 2009.
  66. Ke H, and Liu B, Fuzzy project scheduling problem and its hybrid intelligent algorithm, Applied Mathematical Modelling, Vol.34, No.2, 301-308, 2010.
  67. Liu B, Uncertain set theory and uncertain inference rule with application to uncertain control, Journal of Uncertain Systems, Vol.4, No.2, 83-98, 2010.
  68. Chen XW, and Liu B, Existence and uniqueness theorem for uncertain differential equations, Fuzzy Optimization and Decision Making, Vol.9, No.1, 69-81, 2010.
  69. Liu B, Uncertain risk analysis and uncertain reliability analysis, Journal of Uncertain Systems, Vol.4, No.3, 163-170, 2010.
  70. Liu B, Uncertain logic for modeling human language, Journal of Uncertain Systems, Vol.5, No.1, 3-20, 2011.
  71. Liu B, Extreme value theorems of uncertain process with application to insurance risk models, Technical Report, 2010.

4. Service

  1. 1999: Associate Editor, IEEE Transactions on Fuzzy Systems
  2. 1999: Editorial Board Member, Information: An International Journal
  3. 1999: General Chair, Third National Youth Conference on Operations Research and Management, Beijing, China
  4. 2001: Associate Editor, Fuzzy Optimization and Decision Making
  5. 2001: Associate Editor, Asian Information-Science-Life
  6. 2002: Editorial Board Member, International Journal of Internet and Enterprise Management
  7. 2002: General Chair, Second International Conference on Information, Beijing, China
  8. 2003: Founding President, Uncertainty Society of China (USC)
  9. 2003: General Chair, First Annual Conference on Uncertainty, Daqing, China
  10. 2004: Associate Editor, International Journal of Operations Research
  11. 2004: Program Committee Chair, Third International Conference on Information, Tokyo, Japan
  12. 2005: Area Editor, World Journal of Modelling and Simulation
  13. 2005: Vice President, International Association for Information and Management Sciences (IMS)
  14. 2005: General Chair, Fourth International Conference on Information and Management Sciences, Kunming, China
  15. 2005: Program Committee Chair, Sixth International Symposium on Advanced Intelligent Systems, Yeosu, Korea
  16. 2006: Editorial Board Member, International Journal of Natural Sciences & Technology
  17. 2007: Advisory Editor, Journal of Uncertain Systems
  18. 2007: Editorial Board Member, Far East Journal of Experimental and Theoretical Artificial Intelligence
  19. 2008: President, International Consortium for Electronic Business (ICEB)
  20. 2009: Advisory Board Member, Industrial Engineering & Management Systems: An International Journal
  21. 2009: Associate Editor, Applied Computational Intelligence and Soft Computing

5. Research Projects

  1. "Uncertain Programming Theory", Outstanding Young Teacher Fund, Ministry of Education of China, 1998-1999.
  2. "Uncertain Programming: Modelling, Evolutionary Algorithms and Applications", National Natural Science Foundation of China (No.69804006), 1999-2001.
  3. "Metaheuristics for Solving Large-Scale Uncertain Programming Models", Ministry of Science and Technology of China (PRA SI 00-01), 2001-2002.
  4. "Random Fuzzy Programming and Hybrid Intelligent Algorithms", National Natural Science Foundation of China (No.60174049), 2002-2004.
  5. "Systems Reliability Models in Various Uncertain Environments", Specialized Research Fund for the Doctoral Program of Higher Education (No.20020003009), Ministry of Education of China, 2003-2005.
  6. "Uncertainty Theory", Distinguished Young Scholar Fund, National Natural Science Foundation of China (No.60425309), 2005-2008.
  7. "Chance Theory and Hybrid Programming", National Natural Science Foundation of China (No.60874067), 2009-2011.