19M081FM - Fuzzy mathematics

Course specification
Course title		Fuzzy mathematics
Acronym		19M081FM
Study programme		Electrical Engineering and Computing
Module		Applied Mathematics, Audio and Video Technologies, Biomedical and Environmental Engineering, Biomedical and Nuclear Engineering, Computer Engineering and Informatics, Electronics and Digital Systems, Energy Efficiency, Information and Communication Technologies, Microwave Engineering, Nanoelectronics and Photonics, Power Systems - Networks and Systems, Power Systems - Renewable Energy Sources, Power Systems - Substations and Power Equipment, Signals and Systems, Software Engineering
Type of study		master academic studies
Lecturer (for classes)		professor PhD Siniša Ješić professor PhD Nataša Ćirović
Lecturer/Associate (for practice)		professor PhD Siniša Ješić professor PhD Nataša Ćirović
Lecturer/Associate (for OTC)
ESPB		6.0	Status	elective
Condition
The goal		Introduction to the concepts of fuzzy mathematics, fuzzy sets and fuzzy logic, fuzzy metric spaces, properties of mappings defined therein, nonlinear conditions and applications in Electrical Engineering.
The outcome		Enabling students to use the acquired knowledge in further education and practice, solving mathematical models for fuzzy logic and fuzzy metric spaces to form the iterative methods as optimal for finding solutions of various types of equations that arise from concrete problems of physics, electrical engineering and other sciences.
Contents
Contents of lectures		Fuzzy sets, operations on fuzzy sets, fuzzy arithmetic, fuzzy relations and fuzzy functions, fuzzy logic, fuzzy metrics, sets and functions in fuzzy metric spaces, propositions on fixed points of mappings and iterative methods as a consequence of these propositions.
Contents of exercises		Using computer tools - fuzzy toolbox for Python, to create the model of fuzzy logic. Formulation of iterative methods using Python libraries. Solving problems from various fields of Electrical Engineering, with the use of mathematical software.
Literature
Sinisa Jesic, Theory of functions on fuzzy metric spaces, script, Belgrade, 2006, in Serbian Klir J. G., Yuan B., Fuzzy Sets and Fuzzy Logic: Theory and Applications, Prentice Hall PTR, New Jersey, USA, 1995, na engleskom (Original title)
Number of hours per week during the semester/trimester/year
Lectures	Exercises	OTC	Study and Research	Other classes
3	1
Methods of teaching		Combination of traditional lectures on blackboard, using slides, accompanied by appropriate examples from practice and individual work with students on homework assignments and explanation of covered topics.
Knowledge score (maximum points 100)
Pre obligations		Points	Final exam	Points
Activites during lectures			Test paper	30
Practical lessons		50	Oral examination	20
Projects
Colloquia
Seminars