Lectures 2024, summer semester:
February 19
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
February 26
Fuzzy inclusion.
Fuzzy negations.
Representation theorem for fuzzy negations.
Record of this lecture,
mp4,
pdf
Record of a former lecture,
mp4,
pdf
March 4
Fuzzy complements.
Fuzzy conjunctions (triangular norms),
Triangular Norms and Conorms. Scholarpedia, p.10029.
Representation theorem for strict conjunctions.
Record of this lecture,
mp4,
pdf
Record of a former lecture,
mp4,
pdf
March 11
Representation theorem for nilpotent conjunctions.
Fuzzy disjunctions (triangular conorms), representation theorems. Fuzzy algebras and their properties.
Examples of fuzzy intersections and unions.
Record of this lecture,
mp4,
pdf
Record of a former lecture,
mp4
March 25
Properties of fuzzy propositional and set operations.
Fuzzy implications and biimplications.
Fuzzy relations, their composition.
Record of this lecture,
mp4,
pdf
April 8
Projections of fuzzy relations.
Cylindric extension (cartesian product) of fuzzy sets.
Extension principle for binary relations (unary operations).
Record of this lecture,
mp4,
pdf not yet available
Record of a former lecture,
mp4,
pdf
Fuzzy control: PDF (English) PDF (Czech)
April 15
Lecture cancelled (postponed to June 3)
April 22
Principles of classical control.
Descriptions of dynamical systems.
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 this lecture,
mp4,
pdf not yet available
Record of a former lecture,
mp4,
pdf
April 29
Principles of fuzzy control.
Mamdani-Assilian and residuum-based controllers.
Record of this lecture,
mp4,
pdf not yet available
Record of a former lecture,
mp4
May 6
Which tasks are suitable for fuzzy control.
Requirements on a fuzzy rule base.
Record of a former lecture,
mp4,
pdf
May 13
Fuzzy inference and fuzzy relational equations.
Methods of defuzzification and their properties.
Record of a former lecture,
mp4,
pdf
May 20
Quantum logic
May 13
May 20
May 27