Skip to main content

Milan Vlach

Milan Vlach


  • Bachelor of Science, Bachelor of Natural Science, Charles University (Czech Republic), Romonosov University (former Soviet Union), Doctor of Natural Science (Mathematic), Charles University (Czech Republic), Doctor of Science, Czechoslovak Academy of Sciences
  • Former Professor, Information Science, Japan Advanced Institute of Science and Technology (JAIST), Former Professor, Charles University, Czech Republic


After graduating from a teacher's college and completing military service, I majored in mathematics at Charles University in Prague and in computer mathematics at Romonosov University. After graduation, I became a teacher in the Department of Mathematics and Physics at the Charles University and has been involved in education and research for over 30 years.

Over the last few decades, a new type of decision-making problem has emerged that is interesting both from a practical and theoretical point of view, thanks to the rapid improvement of computer performance, advances in information storage and data manipulation techniques, and the development of quantitative approaches to problem solving. Decision-making problems can have a huge number of variables and constraints, be extremely nonlinear, or be characterized by inherent combinatorial explosiveness. Among these many interesting (esoteric) problems, I am currently focusing on optimization problems with Group Decision Making, Conflict Resolution, and Fair Distribution, combinatorial optimization problems arising in the scheduling of computers and manufacturing systems, and application of linear and nonlinear programming to artificial intelligence such as decision making under various uncertain situations.

In my course, I want students to improve their ability to see things critically, think and analyze things logically. I also want to create an environment where people can easily exchange opinions in order to not only learn facts but also deepen understanding. Even in a computerized environment, people with pure ideas are superior to computers without the ability to think. As B. Russell says, lack of absolute certainty is one of the essential elements of reason (rationality).

I want to enjoy not only lectures but also various things with my students.

Responsible Subject

  • Game Theory and Negotiation Techniques
  • Master Project

Business Performance

Recent Publications

  • Fuzzy mathematical programming: a unified approach based on fuzzy relations. Fuzzy Optimization and Decision Making, Vol. 1, pp. 335 -346, 2002. Coauthor: J. Ramik
  • Scheduling of parallel identical machines to maximize the weighted number of just-in-time jobs. Computers and Operations Research, Vol. 29, pp. 841 -848, 2002. Coauthors: K. Hiraishi and E. Levner
  • Pareto-optimality of promise decisions. Fuzzy sets and Systems, Vol. 129, pp. 119 -127, 2002. Coauthor: Jaroslav Ramik
  • Generalized Concavity in Fuzzy Optimization and Decision Analysis. Kluwer Academic Publishers, p. 296, 2002. Coauthor: J. Ramik
  • Concepts of generalized complexity based on triangular norms. Journal of Statistics & Management Systems, Vol. 5, pp. 87 -106, 2002. Coauthor: J. Ramik
  • Makespan minimization in projects with threshold activities. Asia-Pacific Journal of Operational Research, Vol. 19, pp. 195 -204, 2002. Coauthors: E. Levner and Shao Chin Sung
  • Nonpreemtive flowshop scheduling with machine dominance. The European Journal of Operational Research, Vol. 139, pp. 245 -261, 2002. Coauthors: O. Cepek and M. Okada
  • Satisfying solutions and quality in interval and fuzzy linear programming. Fuzzy Sets and Systems, Vol. 135, pp. 151 -177, 2002. Coauthors: M. Inuiguchi, J. Ramik and T. Tanino
  • Successive approximation method for nonlinear optimal control problems with application to a container crane problem. J. Optimal Control Applications and Methods, Vol.23, pp.275-288, 2002. Coauthor: Hussein Jaddu
  • Alternative model of fuzzy NTU coaxial game. Kybernetika, Vol. 39, pp. 265 -274, 2003. Coauthor: Milan Mars
  • Single machine scheduling to minimize the number of late jobs under uncertainty. Fuzzy Sets and Systems, Vol. 139, pp. 421 -430, 2003. Coauthor: Shao Chin Sung
  • Competitive envy-free division. Social Choice and Welfare, Vol. 23, pp. 103 -111, 2004. Coauthor: Shao Chin Sung
  • Aggregation of generalized quasiconcave functions in optimization. Central European Journal of Operations Research, Vol. 12, pp. 35 -45, 2004. Coauthor: J. Ramik
  • Fuzzy classes of cooperative games with transferable utility. Scientiae Mathematicae Japonicae, Vol. 60, pp. 269 -278, 2004
  • Coauthor: M. Mares
  • Fuzzy approximations to an infeasible generalized linear complexity problem. Fuzzy Sets and Systems, Vol. 146 (2), pp. 221 -232, 2004. Coauthors: P. Gupta and D. Bhatia
  • A non-supervisory definition of fuzzy sets. In “Lecture Notes in Computer Science”, Vol.3135, pp.201-207; Editors: Peters, J. F.; Skowron, A.; Dubois, D.; Grzymala-Busse, J.; Inuiguchi, M.; Polkowski, L.; Springer, 2005 Coauthor: Jaroslav Ramik
  • Fair division procedures. Systems, Control and Information, Vol. 49, pp. 96 -101, 2005
  • Weak and strong machine dominance in a nonpreemptive flowshop. Scientiae Mathematicae Japonicae, Vol. 61, pp. 319 -333, 2005; e 2004, pp. 361 -375. Coauthors: P. Cap and O. Cepek
  • Maximizing weighted number of just-in-time jobs on unrelated parallel machines. Journal of Scheduling, Vol. 8, pp. 453 -460, 2005. Coauthor: Shao Chin Sung
  • Fuzzy Coaltional Structures. Mathware & Soft Computig, XIII, pp. 59 -70, 2006. Coauthor: M. Mares