157-0375/03 – Multicriteria Decision Making Methods (MVR)

Gurantor departmentDepartment of Systems EngineeringCredits4
Subject guarantordoc. Mgr. Ing. František Zapletal, Ph.D.Subject version guarantordoc. Mgr. Ing. František Zapletal, Ph.D.
Study levelundergraduate or graduateRequirementChoice-compulsory type B
Study languageEnglish
Year of introduction2020/2021Year of cancellation
Intended for the facultiesEKFIntended for study typesBachelor, Follow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
ZAP149 doc. Mgr. Ing. František Zapletal, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit 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

Consultations. Written case study.


Other requirements

Written test in the form of case study. Proactive approach at lectures and seminars.


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.

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 pointsMax. počet pokusů
Credit Credit 100 (100) 51 3
        Credit Written test 100  51 2
Mandatory attendence participation: Students should attend at least 70% of seminars. Written credit test in the form of case study.

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Conditions for subject completion and attendance at the exercises within ISP:

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Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2021/2022 (N0414A050002) Marketing and Business P English Ostrava 1 Choice-compulsory type B study plan
2020/2021 (N0414A050002) Marketing and Business P English Ostrava 1 Choice-compulsory type B study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction

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