Inhalt

[ 201MMDMFYSU25 ] UE Fuzzy Systems

Versionsauswahl
Workload Education level Study areas Responsible person Hours per week Coordinating university
1,5 ECTS B3 - Bachelor's programme 3. year Mathematics Susanne Saminger-Platz 1 hpw Johannes Kepler University Linz
Detailed information
Original study plan Bachelor's programme Technical Mathematics 2025W
Learning Outcomes
Competences
  • Students are acquainted with the mathematical, logical and statistical foundations of expert and data based fuzzy systems.
  • Students are able to formalize and model rule based fuzzy systems.
  • Students know about and are able to apply methods for creating data based static and dynamic (evolving) fuzzy systems.
Skills Knowledge
  • Appropriate modeling of linguistic terms by appropriate fuzzy sets (K6)
  • Knowing and proving properties of t-norms, t-conorms, negation and implcations (K3, K4)
  • Developing a rule base for an application setting (K6)
  • Knowing and explaining different fuzzy inference schemata (K2, K3)
  • Designing and executing exemplary Mamdani und Tagaki-Sugeno-Kang fuzzy systems (K1, K5, K6)
  • Proving mathematical properties of fuzzy systems (K1, K2)
  • Knowing and applying clusteringtechniques for obtaining fuzzy sets and a rule base along with their evaluation (K1, K3, K5)
  • Analyzing, interpreting and developing strategies for further evolving given examples of data based fuzzy systems (K4, K5, K6)
  • Types of fuzzy sets (triangular, trapezoidal, Gaussian)
  • Semantic models for many-valued conjunction, disjunction, negation and implication
  • Fuzzy inference schemes (assignment, deductive approach)
  • Mamdani und Tagaki-Sugeno-Kang fuzzy
  • Selected defuzzification strategies
  • Clustering techniques like fuzzy c-means, Gustafson-Kessel models for determining data based fuzzy systems
  • Evolving fuzzy systems: strategies for local and global parameter updating and for structure evolving
Criteria for evaluation Presentation of homework.
Methods Exercise sheets and mini projects as homework, discussion of the solutions.
Language English and French
Changing subject? No
Earlier variants They also cover the requirements of the curriculum (from - to)
201WIMSFUSU18: UE Fuzzy Systems (2018W-2025S)
TM1WMUEFUZC: UE Fuzzy control (2003S-2018S)
On-site course
Maximum number of participants 25
Assignment procedure Direct assignment