Decision Sciences
Code
11632
Academic unit
Faculdade de Ciências e Tecnologia
Department
Departamento de Matemática
Credits
6.0
Teacher in charge
Maria Isabel Azevedo Rodrigues Gomes, Nelson Fernando Chibeles Pereira Martins
Weekly hours
4
Teaching language
Português
Objectives
At the end of this course the student will have acquired knowledge, skills and competences to:
- Be able distinguish among decision under uncertainty, risk, mono-criterion and multicriteria. To know the main drawbacks of quantitative methods for decision support and to be able to make a critical analysis of the solutions.
- Understand the differences between the paradigms of mono and multi-objective optimization. To know and to apply techniques for the reach the solution of compromise.
- Comprehend concepts such as discrete event simulation, entity, state, pseudo-random number, replica, among others. To identify which technique should be use to simulate different and complex systems.
Comprehend the concepts of Data Mining and to be able to identify and apply algorithms to large data structures.
- Be able to select and use adequate software.
Subject matter
(The particular techniques taught may vary slightly from year to year)
- Single and multi-criteria decision making (decision under uncertainty and risk; decision trees; utility theory; multi-criteria decision methodologies: compensatory, non-compensatory and hierarchical)
- Multiobjective optimization (dominance and efficiency; addictive models; weighted vector models; admissible space reduction methods; interactive methods; goal programming)
- Simulation (discrete time vs. continuous time simulation; generating pseudo-random numbers; experiment design and output analysis)
- Data Mining (clustering, association rules, classification algorithms, outliers detection, prediction, result analysis)
Bibliography
Goodwin e Wright (2014) Decision Analysis for Management Judgement, John Wiley & Sons, 5thed.
Hillier and Lieberman (2015) Introduction to Operations Research, McGraw-Hill, 10thed.
Taha, H. A. (2005) Operations research: An introduction. Prentice Hall, 7thed.
Figueira, Mousseau, Roy (2016). ELECTRE methods. In Multiple Criteria Decision Analysis (pp. 155-185). Springer, New York, NY.
Opricovic & Tzeng (2004). Compromise solution by MCDM methods: A comparative analysis of VIKOR and TOPSIS. European journal of operational research, 156(2), 445-455.
Antunes, Alves, Clímaco (2016). Multiobjective linear and integer programming. Springer International Publishing.
Mavrotas (2009). Effective implementation of the ε-constraint method in multi-objective mathematical programming problems. Applied mathematics and computation, 213(2), 455-465.