Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Fuzzy models of decision making (17.IM2226)

Native organizations units: No data

Type of studies	Title
Master Academic Studies	Mathematics in Engineering (Godina: 2, Winter)

General information:

Category	Professional-applicative
Scientific or art field	Teorijska i primenjena matematika
Interdisciplinary	Yes
ECTS	4

Educational goal:

Mastering students with the necessary theoretical knowledge in several areas of mathematics, which are needed to fully understand the decision-making process. Making good business decisions, understanding the mistakes and their causes that arise, as well as the ways to avoid them, is very important in practice, especially in the conditions of uncertainty and risk.

Educational outcome:

Acquired knowledge is the basis for understanding basic decision making techniques. They are able to apply appropriate decision-making methods using software, as well as to analyze solutions offered and make effective and effective business decisions.

Course content:

The concept of decision-making. Problem detection, defining problems and goals. Alternatives and information about the environment and outcomes. Methods of selection under conditions of uncertainty.Decision-making at risk. Sequential decision making. Multitributable decision-making. Group decision making. Multi-criteria decision making (AHP, ...). Expert systems in decision making. Support software. Fuzzy set. Triangular (co) norms. Fuzzy arithmetic (fuzzy numbers and operations with them). Fuzzy measures (set functions, classical measures, non-additive measures, function of belief and application in decision-making). Dempster-Shafer theory (combination rule, transferable belief model, interval function of beliefs, decision criteria). Phase decision making (individual decision making, group decision making, multicriterial decision making, multipoint decision making, ranking method, fuzzy linear programming, fuzzy regression).

Teaching methods:

Lectures. Consultations. Practical part of the material students work and lay in the computer laboratory by solving the mandatory tasks that are being evaluated. Decision-making software is used. Students can do optional tasks and they can earn additional points here. The agreed part of the material (which makes up the whole) is orally exhibited and delivered in written form as a seminar paper. Part of the materials that make up the

Literature:

Authors	Title	Year	Publisher	Language
Shafer G.	A mathematical theory of evidence	1976	Princeton Univ. Press. Princeton N.J.	English
Drummond, H.	Effective Decision Making	1996	KPL, London	English
Pavličić, D.	Teorija odlučivanja	2004	EF, Beograd	Serbian language

Knowledge evaluation:

Course activity	Pre-examination	Obligations	Number of points
Written part of the exam - tasks and theory	No	Yes	40.00
Oral part of the exam	No	Yes	15.00
Homework	Yes	No	0.00
Lecture attendance	Yes	Yes	5.00
Term paper	Yes	No	0.00
Project task	Yes	Yes	40.00