|
Lecturer(s)
|
-
Bebčáková Iveta, Mgr. Ph.D.
|
|
Course content
|
1. General model of decision making and its special cases. 2. Multiple criteria decision making on a finite set of alternatives - mathematical formulation of the problem, examples in economic practice. 3. Decision criteria, their classification. Types of evaluations, evaluating scales. Basic types of preference relations. 4. Formal analysis of the set of criteria, independency of criteria. 5. Criteria weights, their setting. 6. Decision alternatives, special methods for their generating. Analysis of the set of alternatives. 7. Multiple criteria decision making without information about criteria preferences: MINIMAX, MAXIMAX, Hurwitz's rule, OWA. Decision making with ordinal information concerning importance of criteria: Lexicographical Ordering Method and its modifications. 8. Methods based on the weighted average of partial evaluations (with accent to Partial Goals Method) 9. Analytic Hierarchy Process (AHP) 10. Deterministic utility theory. Construction of the additive multiple criteria utility function. 11. Methods minimizing the distance to the ideal alternative. Compensation Method. 12. Decision making methods with cardinal information about criteria preferences that are appropriate for ordinal criteria (Electra III Method etc.).
|
|
Learning activities and teaching methods
|
Lecture, Dialogic Lecture (Discussion, Dialog, Brainstorming)
- Attendace
- 52 hours per semester
- Semestral Work
- 15 hours per semester
- Preparation for the Exam
- 25 hours per semester
|
|
Learning outcomes
|
Comprehend fundamentals of the mathematical theory of evaluation and decision making. Understand the main theoretical approaches to multiple criteria decision making and know corresponding mathematical methods. Be able to apply these methods to solving real problems.
Comprehension. Application. Comprehension of the mathematical theory of evaluation and decision making. Understanding of the main theoretical approaches to multiple criteria decision making and knowledge of the corresponding mathematical methods. Application to solving practical problems.
|
|
Prerequisites
|
Basic course of mathematics.
|
|
Assessment methods and criteria
|
Oral exam, Seminar Work
Credit: student has to present a seminar project containing the solution of a chosen multiple-criteria evaluation problem using various mathematical methods (teamwork). Exam: student has to prove active knowledge of the theory and methods that are taught within the course KMA/MTR1.
|
|
Recommended literature
|
-
C. L. Hwang, K. Yoon. (1980). Multiple Attribute Decision Making. Springer-Verlag Berlin, 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. Ramík. (1999). Vícekriteriální rozhodování - analytický hierarchický proces (AHP). OPF SU, Karviná.
-
J. Talašová. (2003). Fuzzy metody vícekriteriálního hodnocení a rozhodování. VUP, Olomouc.
-
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.
-
T. L. Saaty. (1980). The Analytical Hierarchy Process. McGraw Hill New York.
|