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19M081FM - Fuzzy mathematics

Course specification
Course title Fuzzy mathematics
Acronym 19M081FM
Study programme
Module
Type of study master academic studies
Lecturer (for classes)
Lecturer/Associate (for practice)
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
    1. Sinisa Jesic, Theory of functions on fuzzy metric spaces, script, Belgrade, 2006, in Serbian
    2. Klir J. G., Yuan B., Fuzzy Sets and Fuzzy Logic: Theory and Applications, Prentice Hall PTR, New Jersey, USA, 1995
    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