### Curricula of the course Fuzzy Logic

**Lectures 2009:**

**Preliminaries:**

Printable version of lectures.

17.3.09

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

Fuzzy inclusion.

Fuzzy negations.

31.3.09

Triangular Norms and Conorms. Scholarpedia, p.10029.

3.4.09 13:30

Milan Petrík: Explicit formulas for generators of t-norms
(Dept. of Mathematics, Zikova 4, 2nd floor, hall 30)

7.4.09

Properties of fuzzy propositional and set operations.

Fuzzy implications and biimplications.

Fuzzy relations, their composition, fuzzy equivalence (similarity), hereditary (consistent) properties.

**Cluster Analysis:**

21.4.09

Algorithms k-means, fuzzy c-means, EM algorithm as a tool for handling incomplete information (in Czech).

**Machine Learning:**

24.4.09 16:15

(In English:)
Eyke Hüllermeier
(Philipps-Universität Marburg, Germany):
Fuzzy Logic in Machine Learning and Data Mining
[abstract].

**Quantum logic:**

28.4.09

(In English:) Dan Caragheorghopol (Technical University of Civil Engineering Bucharest, Romania): Quantum logic
[abstract].

**Probability on fuzzy events:**

5.5.09

Why classical measure theory is what it is:
sigma-additivity, Banach-Tarski paradox, sigma-algebra of sets.
Measures on Borel sigma-algebra are determined by values on balls.

12.5.09

(In English:) Collections of fuzzy sets (clans and tribes), definitions of measures on them.

19.5.09 Exceptionally in building E, hall E14

(In English:) Characterization and properties of Frank tribes.

26.5.09

(In English:) Characterization of measures on Lukasiewicz and other tribes.