Subject: Mathematical basis of the fuzzy systems (17.D0M07L )
Native organizations units: Department of Fundamentals Sciences
Study programmes of the course:
| Type of studies | Title |
|---|---|
| Doctoral Academic Studies | Mathematics in Engineering (Godina: 1, Summer) |
| Doctoral Academic Studies | Mathematics in Engineering (Godina: 1, Summer) |
Educational goal:
Enabling students to develop abstract thinking and acquire knowledge about the theory of fuzzy systems. The goal is to develop in the student the way of thinking that will enable recognizing the possibility of application of the theory of fuzzy systems in various scientific disciplines.
Educational outcome:
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. These models usually stem from practice and often require multidisciplinary knowledge for their successful solving.
Course content:
Theoretical part of the course (lectures): Fuzzy sets. Fuzzy arithmetic. Fuzzy logic. Fuzzi topological spaces. Fuzzy metric spaces. Fuzzy measures and integrals. Fuzzy statistics. Part of the course is organized in the form of independent study and research work in the field of mathematics. The study and research work is based on active study of primary scientific sources, organization and performing of experiments, and statistical processing of data, numerical simulations, with the option of writing a paper in the field of mathematics.
Teaching methods:
Lectures. 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. In addition to lectures there are regular consultations. The students can take partial exams during the course. A part of the course material (which represents a unit of course subject matter) is presented orally and submitted as a written seminar paper. The oral part of the final examination is eliminatory. Through research and study work the student will, on the bases of scientific journals and other relevant literature that has been studied independently, develop further understanding of the material covered in lectures. Working with the course teacher the student develops the ability to independently work on a scientific paper.
Literature:
| Authors | Title | Year | Publisher | Language |
|---|---|---|---|---|
| 1995 | English | |||
| 1992 | English | |||
| Nebojša Ralević | Zbirka rešenih ispitnih zadataka iz Fazi matematike | 2018 | FTN Izdavaštvo | Serbian language |
| 1995 | English | |||
| 1992 | English | |||
| Pap E. | Fazi mere i njihova primena | 1999 | Univ. u Novom Sadu, Prirod. Mat. Fak., Novi Sad | Serbian language |
| 2000 | English |
Knowledge evaluation:
| Course activity | Pre-examination | Obligations | Number of points |
|---|---|---|---|
| Project defence | Yes | Yes | 10.00 |
| Term paper | Yes | Yes | 20.00 |
| Lecture attendance | Yes | Yes | 5.00 |
| Theoretical part of the exam | No | Yes | 40.00 |
| Practical part of the exam - tasks | No | Yes | 25.00 |
Lecturers:
prof. dr Ralević Nebojša
Full Professor
Lectures
prof. dr Medić Slavica
Full Professor
Lectures
prof. dr Mihailović Biljana
Full Professor
Lectures
prof. dr Ralević Nebojša
Full Professor
Study research work
prof. dr Mihailović Biljana
Full Professor
Study research work
prof. dr Medić Slavica
Full Professor
Study research work
Faculty of Technical Sciences
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Contact:
Address: Trg Dositeja Obradovića 6, 21102 Novi Sad
© 2024. Faculty of Technical Sciences.