**Lectures 2013:**

**Preliminaries:**
Printable version of lectures:
English,
Czech

19.2.2013

System of cuts of a fuzzy set, theorem on representation of fuzzy sets by cuts, conversion between vertical and horizontal representation.

27.2.2013

Fuzzy inclusion.

Fuzzy negations.

Representation theorem for fuzzy negations.

6.3.2013

Fuzzy conjunctions (triangular norms),

Triangular Norms and Conorms. Scholarpedia, p.10029.

13.3.2013

Representation theorems.

Fuzzy disjunctions (triangular conorms), representation theorems.

Examples of fuzzy intersections and unions.

20.3.2013

Exercises on fuzzy negations and conjunctions and their generators.

Properties of fuzzy propositional and set operations.

3.4.2013

Fuzzy implications and biimplications.
*For the following topics, see Lectures on classical and fuzzy logics.*

Classical logic: syntax, semantics, tautologies.

10.4.2013

Classical logic: axioms, deduction, theorems.

17.4.2013

Classical logic: completeness.

Fuzzy logic: axioms and theorems of basic logic.

2.5.2013

Fuzzy logic: semantics of basic logic, deduction in basic logic, completeness.

7.5.2013

Other types of fuzzy logics: Gödel logic, product logic (its alternative axiomatization, formulas which are tautologies of product logic but not of Gödel or basic logic), £ukasiewicz logic and its alternative axiomatization.

15.5.2013

Rational Pavelka logic.