Lectures 2024, winter semester:
September 26
Basic notions. System of cuts of a fuzzy set, theorem on representation of fuzzy sets by cuts, conversion between vertical and horizontal representation.
Record of a former lecture,
mp4,
pdf
October 3 Lecture cancelled
October 10
Fuzzy inclusion.
Fuzzy negations.
Representation theorem for fuzzy negations.
Record of a former lecture,
mp4,
pdf
Record of an older lecture,
mp4,
pdf
October 17
Fuzzy complements.
Fuzzy conjunctions (triangular norms),
Triangular Norms and Conorms. Scholarpedia, p.10029.
Record of a former lecture,
mp4,
pdf
Record of an older lecture,
mp4,
pdf
October 24 Lecture cancelled
October 31
Representation theorem for strict conjunctions.
Representation theorem for nilpotent conjunctions.
Fuzzy disjunctions (triangular conorms).
Record of a former lecture,
mp4,
pdf
Record of an older lecture,
mp4
November 7
Fuzzy disjunctions, representation theorems.
Examples of fuzzy intersections and unions.
Properties of fuzzy propositional and set operations.
November 14
Fuzzy implications and biimplications.
Fuzzy relations, their composition.
Record of a former lecture,
mp4,
pdf
November 21
Special fuzzy relations (in particular, fuzzy equivalencies).
Projections of fuzzy relations.
Cylindric extension (cartesian product) of fuzzy sets.
Fuzzy control: PDF (English) PDF (Czech)
Principles of classical control.
Descriptions of dynamical systems.
November 28
Connections of dynamical systems.
The role of feedback in control.
Principles of classical linear control.
The role of eigenvalues on stability and the problem of their determination.
Record of a former lecture,
mp4
Record of an older lecture,
mp4,
pdf
December 5
Convex fuzzy sets.
Principles of fuzzy control.
Mamdani-Assilian and residuum-based controllers.
Record of a former lecture,
mp4,
pdf not yet available
Record of an older lecture,
mp4,
pdf
December 12
Which tasks are suitable for fuzzy control.
Requirements on a fuzzy rule base.
Fuzzy inference and fuzzy relational equations.
Record of an older lecture,
mp4,
pdf
December 19
Methods of defuzzification and their properties.
Comparison of fuzzy control to other approaches.
Takagi-Sugeno controllers.
Which tasks are suitable for fuzzy control. Problems and perspectives.
Record of this lecture,
mp4,
pdf
Record of an older lecture,
mp4,
pdf
January 9
A brief introduction to quantum logic.
Record of this lecture,
mp4,
pdf