Intelligent Systems II · TEE · read-chapter

2. Fuzzy logic, from meaning to full solutions

Definitions → membership graphs → operations → rules → defuzzification → complete controller.

  1. Fuzzy sets: what membership actually means
  2. Triangular membership: choose the side, then calculate
  3. Trapezoids, shoulders and intuition-based fuzzification
  4. Union, intersection, complement and difference
  5. Fuzzy properties, De Morgan laws and α-cuts
  6. Mamdani architecture: what every block does
  7. Rule firing, clipping and aggregation: four solved cases
  8. Mean of maxima: discrete peaks and clipped plateaus
  9. Centroid: three table sums and one area calculation
  10. Weighted average and centroid are not automatically the same
  11. Class fan question: 32°C, 7 people, every rule and step
  12. The same fan controller: true area centroid versus MoM and weighted average
  13. Fuzzy theory: definitions, architecture, advantages and applications
  14. Gaussian, singleton and bell memberships