XEP33FLO Fuzzy Logic

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In the summer semester 2025/26, the course will be held in English or in Czech, depending on the students subscribed. The time will be decided by a poll when the subscriptions are (almost) complete.
The curricula will contain a general introduction to fuzzy sets (about 5 weeks), followed by lectures on specific topics chosen by you from several options. Please, read the previous curricula and prepare your comments.

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.
The rest will be decided by the participants.