Course: Theory and Methods of Decision Making

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Course title Theory and Methods of Decision Making
Course code KMA/PGSTR
Organizational form of instruction Lecture
Level of course Doctoral
Year of study not specified
Semester Winter and summer
Number of ECTS credits 15
Language of instruction Czech, English
Status of course unspecified
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Pavlačka Ondřej, RNDr. Ph.D.
Course content
General model of decision making situation and its special cases. Decision criteria, their classification. Methods of setting criteria weights. Basic multiple criteria decision making methods (without information about criteria preferences, with ordinal and/or cardinal information about criteria preferences). Multiple criteria utility function (under certainty). Partial Objectives Method. Saaty's Analytical Hierarchical Process. Fuzzy methods of multiple criteria decision making. Risk analysis. Rules of decision making under risk, one criterion utility function under risk. Decision matrices and decision trees. Multiple criteria utility function under risk. Fuzzy methods of decision making under risk. Theoretical basis and methods of multiple objectives optimization. Multiple objective fuzzy linear programming. Games theory. Games of two or more players. Decision making under risk and uncertainty from the point of view of games theory.

Learning activities and teaching methods
Dialogic Lecture (Discussion, Dialog, Brainstorming), Work with Text (with Book, Textbook)
Learning outcomes
To master the basis of mathematical decision making theory and corresponding methods
Understanding To understand the basis of mathematical decision making theory and corresponding methods
Prerequisites
Master's degree in mathematics.

Assessment methods and criteria
Oral exam

Exam: to know and to understand the subject
Recommended literature
  • C. L., Hwang, K. Yoon. (1980). Multiple Attribute Decision Making. Springer - Verlag, Berlin, Heidelberg, New York.
  • J. Bouška, M. Černý, D. Glückaufová. (1984). Interaktivní postupy rozhodování. Academia, Praha.
  • J. Fodor, B. De Beates, P. Perny. (2000). Preference and Decision under Incomplete Knowledge. Physica-Verlag Heidelberg, New York.
  • J. Fotr, J. Dědina, H. Hrůzová. (2003). Manažerské rozhodování. Ekopress, Praha.
  • J. Fotr, M. Píšek. (1986). Exaktní metody ekonomického rozhodování. Academia, Praha.
  • J. Geweke. (1980). Decision Making under Risk and Uncertainty. Kluwer Academic Publishers, Dordrecht.
  • J. Ramík, M. Vlach. (2001). General Concavity in Fuzzy Optimization and Decision Analysis. Kluwer, Academic Publishers, Boston-Dordrecht-London.
  • J. Ramík. (1999). Vícekriteriální rozhodování - analytický hierarchický proces (AHP). OPF SU, Karviná.
  • J. Talašová. (2003). Fuzzy metody vícekriteriálního hodnocení a rozhodování. VUP, Olomouc.
  • M. Maňas. (1991). Teorie her a její aplikace. SNTL, Praha.
  • P. C. Fishburn. (1970). Utility Theory for Decision Making. J. Willey, New York.
  • P. Dostál, K. Rais, Z. Sojka. (2005). Pokročilé metody manažerského rozhodování. Grada Publishing, Praha.
  • R. Nau, E. Groen, M. Machina, O. Bergland. (1997). Economic and Environmental Risk and Uncertainty. Kluwer Academic Publishers, Dordrecht.
  • T. L.Saaty. (1980). The Analytical Hierarchy Process. McGraw Hill, New York.
  • Y. J. Lai, C. L., Hwang. (1994). Fuzzy Multiple Objective Decision Making. Springer - Verlag, Berlin, Heidelberg.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester