Subject: Fuzzy measures and integrals (17.D0M50Z )
Native organizations units: Department of Fundamentals Sciences
Study programmes of the course:
| Type of studies | Title |
|---|---|
| Doctoral Academic Studies | Mathematics in Engineering (Godina: 2, Winter) |
Educational goal:
The students learn about theoretical overview, methods and applications of fuzzy measures and integrals.
Educational outcome:
The students are capable of independent scientific work. The acquired knowledge can be used in solving practical problems using mathematical models based on fuzzy integrals.
Course content:
The course content includes the following topics. Non-additive set functions. Fuzzy measures. Generalized fuzzy measures (fuzzy bi-measures, real fuzzy measures). Co-monotone functions. Fuzzy measures based integrals. (Choquet integral, Sugeno integral, Shilkret integral). Convergence theorems. Symmetric and asymmetric extension of fuzzy integrals. Applications of fuzzy integrals and their extensions in decision theory, mathematical psychology and pattern recognition. Study and research work includes relevant scientific literature.
Teaching methods:
Lectures. Consultations. The presentation of the theoretical part is followed by the corresponding examples which contribute to better understanding of the theoretical part. Through homework assignments, work with the course teacher and study of the scientific journals and other relevant literature, the students are prepared for independent work on writing a scientific paper.
Literature:
| Authors | Title | Year | Publisher | Language |
|---|---|---|---|---|
| 2000 | English | |||
| 2002 | English | |||
| 1995 | English | |||
| 1994 | English |
Knowledge evaluation:
| Course activity | Pre-examination | Obligations | Number of points |
|---|---|---|---|
| Homework | Yes | Yes | 30.00 |
| Theoretical part of the exam | No | Yes | 70.00 |
Lecturers:
prof. dr Mihailović Biljana
Full Professor
Lectures
prof. dr Medić Slavica
Full Professor
Study research work
vanr. prof. dr Nedović Ljubo
Associate Professor
Study research work
vanr. prof. dr Nedović Ljubo
Associate Professor
Lectures
prof. dr Grbić Tatjana
Full Professor
Study research work
prof. dr Mihailović Biljana
Full Professor
Study research work
prof. dr Medić Slavica
Full Professor
Lectures
prof. dr Grbić Tatjana
Full Professor
Lectures
Faculty of Technical Sciences
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Contact:
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© 2024. Faculty of Technical Sciences.