XEP33FLO Fuzzy Logic

The latest news will be here.
————————- forthcoming winter semester —————————
From the academic year 2026/27, the course Fuzzy Logic will be open only in winter semesters. The subscriptions in the information system (KOS) are open. The schedule will be decided according to the possibilities of the subscribed students.
————————- summer semester —————————
I am asking you (even those who resigned) kindly to respond to a survey on this course
The terms of exams will be chosen in a dialogue with you. When somebody feels almost ready, we shall decide the term and announce it to allow others to join. Then a next round could be organized on the same principle. My availability will be reduced during the weeks of state exams (June 8-18) and almost zero during vacations (July and August). See also the instructions for exams.
Principles of classical control will not be presented. You are directed to the record from a previous course, mp4. This topic is important as a motivation, but not entirely necessary for understanding the following lecture on fuzzy control.

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 clustering; the recording of this lecture failed due to a lost connection (minutes 35-65). It will not be examined.