157-0375/01 – Multicriteria Decision Making Methods (MVR)

Gurantor departmentDepartment of Systems EngineeringCredits5
Subject guarantordoc. Mgr. Ing. František Zapletal, Ph.D.Subject version guarantordoc. Mgr. Ing. František Zapletal, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Study languageCzech
Year of introduction2019/2020Year of cancellation
Intended for the facultiesEKFIntended for study typesBachelor, Follow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
NEM191 Ing. Radek Němec, Ph.D.
TOL0013 prof. Mehdi Toloo, Ph.D.
ZAP149 doc. Mgr. Ing. František Zapletal, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2

Subject aims expressed by acquired skills and competences

The course is focused on description and application of multi-criteria decision making methods. Students will learn how to solve various discrete decision making problems under different assumptions (certainty x risk x uncertainty, decision making with a single decision maker, group decision making), different input data types, etc. The first part of the course is devoted to non-conflict decision making (without any opponent) and the second part to conflict decision making (game theory). Students should be able to analyze a problem, use a suitable method and find the best decision with respect to the given aim.

Teaching methods



Students should be able to define basic terminology at the decision-making theory, specify approaches to solving the decision-making problems, describe the structure of the decision-making process, are able to recognize the decision making under certainty, uncertainty and risk and apply these methods to real-life problems.

Compulsory literature:

NUTT, Paul C. a David C. WILSON, ed. Handbook of decision making. Chichester: John Wiley & Sons, Ltd., Publication, 2010. ISBN 978-1-4051-6135-0 TRIANTAPHYLLOU, Evangelos. Multi-criteria decision making methods: a comparative study. Dordrecht: Kluwer Academic Publishers, c2000. Applied optimization, v. 44. ISBN 0-7923-6607-7. WISNIEWSKI, Mik. Quantitative methods for decision makers. 5th ed. Harlow: Financial Times Prentice Hall, 2009. ISBN 978-0-273-71207-7.

Recommended literature:

ZOPOUNIDIS, Constantin a Michael DOUMPOS, ed. Multiple criteria decision making: applications in management and engineering. Švýcarsko: Springer, [2017]. Multiple criteria decision making. ISBN 978-3-319-39290-5. SAATY, T. L.: Decision making for leaders. Pittsburg, RWS Publications 1998 ANDERSON, David Ray. Introduction to management science: quantitative approaches to decision making. 2nd ed. Andover: Cengage Learning, c2014. ISBN 978-1-4080-8840-1.

Way of continuous check of knowledge in the course of semester

Zápočet: - aktivní účast na cvičeních - zpracování projektu dle požadované struktury a obsahu - obhájení zpracovaného projektu - získání minimálně 23 bodů z 45 Zkouška: - ústní


Other requirements

Semestral project and its defense. Oral exam


Subject has no prerequisities.


Subject has no co-requisities.

Subject syllabus:

1. Introduction to decision making, decision making process, classification of problems. 2. Decision trees and their application. 3. Decision rules for decision making under risk and uncertainty. 4. Criteria weighting - pointing method, pair-wise comparison. 5. Criteria weighting - Saaty's method. 6. Multi-criteria decision making methods - WSA method, TOPSIS method. 7. Multi-criteria decision making methods - Analytical Hierarchy Process. 8. Multi-criteria decision making methods - PROMETHEE method, Even-Swap method 9. Biases in decision making. 10. Game theory - introduction and classification. 11. Game theory - matrix games. 12. Game theory - mixed strategies for matrix games. 13. Game theory - bi-matrix games. 14. Game theory - cooperative games.

Conditions for subject completion

Full-time form (validity from: 2020/2021 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 45 (45) 23
                Credit Written test 45  23
        Examination Examination 55 (55) 28
                Oral exam Oral examination 55  28
Mandatory attendence parzicipation: Students should attend at least 70% seminars. Written test in the form of case study. Oral exam.

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Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2021/2022 (B0311A050015) Informatics in Economy KPR P Czech Ostrava 2 Compulsory study plan
2021/2022 (N0413A050014) Economics and Management (S01) Business Administration P Czech Ostrava 1 Compulsory study plan
2020/2021 (N0413A050014) Economics and Management (S01) Business Administration P Czech Ostrava 1 Compulsory study plan
2020/2021 (B0311A050015) Informatics in Economy KPR P Czech Ostrava 2 Compulsory study plan
2019/2020 (N0413A050014) Economics and Management (S01) Business Administration P Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner