XEP33FLO Fuzzy Logic

• The latest news will be here.
• Please, take part in the poll to decide the time of the lecture.

You may also comment on your preferences of the place (Karlovo náměstí/Dejvice) either in the comments of the poll or by e-mail to me.

• In the summer semester 2024/25, the course will be held in English or Czech, depending on the subscribed participants. A Doodle poll will decide the time.

• BRUTE

• Basic notions. 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. Representation theorem for fuzzy negations.
• Fuzzy complements.

Fuzzy conjunctions (triangular norms).

• Representation theorem for strict conjunctions.

Representation theorem for nilpotent conjunctions. Fuzzy disjunctions (triangular conorms)., representation theorems. Fuzzy algebras and their properties. Examples of fuzzy intersections and unions.

• Fuzzy disjunctions, representation theorems. Examples of fuzzy intersections and unions.

Properties of fuzzy propositional and set operations.

• Fuzzy implications and biimplications.

Fuzzy relations, their composition.

• The rest of the course will be decided according to your preferences.