Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Fuzzy mathematics (17.0M508)

Native organizations units: Department of Fundamentals Sciences

Type of studies	Title
Master Academic Studies	Mathematics in Engineering (Year: 1, Semester: Winter)

General information:

Category	Scientific-professional
Scientific or art field	Teorijska i primenjena matematika
ECTS	5

Enabling the students to develop abstract thinking and acquire knowledge about the theory of fuzzy systems. Objectives of the course are to develop in the students a way of thinking that they can use when studying phenomena described by imprecise data. The student is trained to use the appropriate software.

To use the acquired knowledge in engineering subjects and in practice, postulate and solve mathematical models in engineering subjects using the knowledge about fuzzy systems. Special emphasis is given to the fields of data science and actuarial science.

Theoretical part of the course (lectures):Operations on real numbers (t-norms, aggregation operators, copulas). Fuzzy sets (basic concepts, extension principle). Fuzzy relations and fuzzy functions. Fuzzy numbers. Linguistic variables. Fuzzy equations. Fuzzy logic. Possibility theory and its application in the actuarial. Fuzzy databases. Use of computer - fuzzy toolbox., Practice classes (practices: In practice classes typical problems are solved and knowledge from the lectures is further developed, thus the practice classes contribute to better understanding of the subject matter.

Lectures. Numerical calculation classes. Consultations. Lectures are organized in combined form. The presentation of the theoretical part is followed by the corresponding examples which contribute to better understanding of the theoretical part. During the practice classes which follow the lectures, the subject matter is supported by characteristic examples to provide further practice and better understanding In addition to lectures and practice classes there are regular consultations. The students can take partial exams during the course.

Authors	Title	Year	Publisher	Language
Klir, G.J., Yuan, B.	Fuzzy Sets and Fuzzy Logic: Theory and Applications	1995	Prentice Hall, Upper Saddle River, New Jersey	English
Klir, G.J., Yuan, B.	Fuzzy sets and fuzzy logic : Theory and Applications	1995	Prentice Hall, Upper Saddle River	English

Course activity	Pre-examination	Obligations	Number of points
Lecture attendance	Yes	Yes	5.00
Term paper	Yes	Yes	20.00
Exercise attendance	Yes	Yes	5.00
Practical part of the exam - tasks	No	Yes	30.00
Theoretical part of the exam	No	Yes	40.00