**Lectures 2019:**

Feb 28: Basic notions. System of cuts of a fuzzy set, theorem on representation of fuzzy sets by cuts, conversion between vertical and horizontal representation.

Mar 7: Fuzzy inclusion.

Fuzzy negations.

Mar 14: Representation theorem for fuzzy negations.

Fuzzy conjunctions (triangular norms),

Triangular Norms and Conorms. Scholarpedia, p.10029.

Fuzzy algebras and their properties.

Mar 21: Representation theorems.

Mar 28: Fuzzy disjunctions (triangular conorms), representation theorems.

Examples of fuzzy intersections and unions.

Exercises on fuzzy negations and conjunctions and their generators.

Apr 4: *Lecture cancelled due to an absence of a majority of students.*

Apr 11: *Lecture cancelled due to an overlap with
Pattern Recognition and Computer Vision Colloquium*

Apr 18: Properties of fuzzy propositional and set operations.
Fuzzy implications.

Apr 25: More on representation theorems (public seminar).

May 2: Fuzzy implications and biimplications.
Basic principles of the classical measure (and probability) theory.

May 9: Principles of the classical and non-classical (quantum) measure theory, Banach–Tarski paradox.

May 16: Set-representable models of quantum events and random variables.

May 23: *Lecture cancelled due to doctoral state exams*.

May 30: Non set-representable models of quantum events and observables.

June 6: Generalized models of probability based on fuzzy logics.
Problems of conditional probability.