Lectures 2025, winter semester:
February 16
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 this lecture
Record of a former lecture,
mp4,
pdf
February 23
Fuzzy inclusion.
Fuzzy negations.
Representation theorem for fuzzy negations.
Record of a former lecture,
mp4,
pdf
Record of an older lecture,
mp4,
pdf
March 2 SHIFTED START AT 11:15
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
March 9
Representation theorem for strict conjunctions.
Representation theorem for nilpotent conjunctions.
Examples of fuzzy intersections.
Fuzzy disjunctions (triangular conorms).
Record of a former lecture,
mp4,
pdf
Record of an older lecture,
mp4
March 16
Representation theorems for fuzzy disjunctions.
Examples of fuzzy unions.
Properties of fuzzy propositional and set operations.
Definition and basic properties of fuzzy implications.
March 23
Fuzzy implications and biimplications.
The rest will be decided according to the interests of participants.