• PL
  • EN
  • EN

Mathematical Decision Making

Block name: Mathematical Decision Making

ECTS: 4         

Language of instruction: Polish/English

Teaching methods/load: Lecture (30h / semester); Exercises (15h / semester)

TOTAL: 45h / semester

Teacher responsible: Sylwia Krawczyńska

 

Prerequisites

achievement of learning outcomes in the subject Mathematics at the undergraduate level (I level). It means having the knowledge of advanced mathematics: mathematical analysis (drawing graph), algebra (solving matrix, set of equations).

 

Description of learning outcomes

  • understanding of the basic concepts, patterns and problems in the field of mathematical decision support;
  • the ability to apply mathematical methods in decision making;
  • the ability to think abstractly and create mathematical models to issues of safety engineering.

 

Content:

  • The elements of applied mathematics: linear programming, graph theory, flow network, fuzzy sets, decision problem, game theory.
  • Optimization - a set of acceptable solutions, the quality criteria, minimization and maximization of the real function. Objective optimization with two function and multi-objective optimization, optimization of Pareto efficiency, relations order and their role in optimization. Optimization tasks.
  • Multi-objective optimization. Modeling preferences.
  • The functions and relationships preferences. Models of optimist and pessimist. Hierarchical Optimization.
  • Optimization in uncertainty conditions. Compromise solution. Collective taking of optimal decision. Optimization in multiple targets. 
  • Decision-making, strategic and cooperative games. Formulate problems of safety and protection objects with applying multi-objective optimization.

W ramach naszej witryny stosujemy pliki cookies w celu świadczenia Państwu usług na najwyższym poziomie, w tym w sposób dostosowany do indywidualnych potrzeb. Korzystanie z witryny bez zmiany ustawień dotyczących cookies oznacza, że będą one zamieszczane w Państwa urządzeniu końcowym. Mogą Państwo dokonać w każdym czasie zmiany ustawień dotyczących cookies. Więcej szczegółów w naszej polityce prywatności.