## INMNARAM Decision Analysis for Managers

Summer 2018
Extent and Intensity
2/1/0. 4 credit(s). Type of Completion: z (credit).
Teacher(s)
doc. RNDr. David Bartl, Ph.D. (lecturer)
prof. RNDr. Jaroslav Ramík, CSc. (lecturer)
doc. RNDr. David Bartl, Ph.D. (seminar tutor)
Ing. Radomír Perzina, Ph.D. (seminar tutor)
Guaranteed by
Department of Informatics and Mathematics - School of Business Administration in Karvina
Contact Person: Mgr. Radmila Krkošková, Ph.D.
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
Based on the knowledge of basic management courses and mathematical statistics provide basic and advanced mathematical methods of multi-criteria decision making. It also aims to practically handle case studies using Excel and add-in DAME.
Syllabus
• Multicriteria - an essential feature of decision-making and evaluation
Introduction to multi-criteria decision making. Decision-making process. The information in decision-making. Theoretical and real decision-maker. The basic elements of a multi-criteria decision making. Criteria - setting goals and criteria, weighting of the criteria, methods of determining variants and consequences of variations. Relations. Scales. "Optimal" solution - undominated solution. Properties of compromise variants. Classification of multi-criteria decision making tasks.
Methods of nominal and ordinal information on the criteria
Classification of methods according to the information on the criteria. Methods of nominal information on the criteria. The method of equal importance. Method of aspiration levels. Methods of ordinal information on the criteria. Lexicographical method. Methods using scalarization of ordinal information on the criteria. Ranking and scoring method. Methods of paired comparison. Fuller triangle method.
Methods of cardinal information on the criteria
Introduction to the methods of cardinal information on the criteria. Standardization and normalization. Methods based on the utility function. Methods based on pairwise comparison of alternatives. Methods based on distance. Saaty method of pairwise comparisons. The method of least squares for calculation of weights. The method of logarithmic least squares determination of weights.
Analytical Hierarchy Process (AHP)
Hierarchy. A formal approach to the hierarchy. Priorities. Basic scale. Weights calculation based on pairwise comparisons matrix. Eigenvalues and eigenvectors of reciprocal matrices. Consistency matrix of pairwise comparisons. Synthesis. Application of multi-criteria decision making methods to the practical problems of optimal decision making.
Multi-criteria decision making under risk and uncertainty
The decision-making task in terms of risk, uncertainty and vagueness. Objective and subjective probability. Utility function under risk. Variants assessment methods under risk with a single criterion. Methods of evaluation of variants under risk with more criteria. AHP in multicriteria evaluation of variants under risk.
Literature
required literature
• ISHIZAKA, A., NEMERY, P. Multi-criteria Decision Analysis: Methods and Software. Chichester, West Sussex, U.K.: Wiley, 2013. ISBN 978-1119974079. info
• LAWRENCE, K., KLEINMAN, G. Applications in multi-criteria decision making, data envelopment analysis, and finance. Bingley, UK: Emerald, 2010. ISBN 978-0857244697. info
recommended literature
• ZOPOUNIDIS, C., DOUMPOS, M. Multiple Criteria Decision Making: Applications in Management and Engineering. Berlin: Springer, 2016. ISBN 978-3319392905. info
• PEDRYCZ, W. Fuzzy multicriteria decision-making: models, methods and applications. West Sussex, U.K.: Wiley, 2011. ISBN 978-0470682258. info
• EHRGOTT, M., FIGUEIRA, J. R., GRECO, S. Trends in Multiple Criteria Decision Analysis. London: Springer, 2010. ISBN 978-1441959034. info
Assessment methods (in Czech)
PET WRITING (pokročilí)
Language of instruction
English
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
Teacher's information
https://elearning.opf.slu.cz/course/view.php?id=765
attendance in seminars 70 %, seminar paper, course credit test
ActivityDifficulty [h]
Ostatní studijní zátěž46
Přednáška26
Seminář13
Zápočet30
Summary115
The course is also listed under the following terms Summer 2015, Summer 2016, Summer 2017, Summer 2019, Summer 2020, Summer 2021.
• Enrolment Statistics (Summer 2018, recent)