XEP33FLO Fuzzy Logic

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There will be an exam in hall G102a in building G at Karlovo náměstí on May 28, 11:00. (To access hall G102a, collect at the staircase and enter all together.) You may subscribe in KOS, but a message (e-mail) suffices, too.

The terms of exams will be chosen in a dialogue with you. When somebody will feel 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 at 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, starting on April 20.

A homework with the deadline of April 19, 18:00 was assigned in Brute. The LaTeX source with the macros used also available.

We switched to the daylight saving time. The lectures will start at 11:00 CEST, i.e., 9:00 UTC.

The main topic of this course will be fuzzy control, possibly followed by one or two lectures on another topic. You may still vote for the future topics at the poll.

In the summer semester 2025/26, the course will be held in English. Lectures will be in Dejvice, JP3:B-633 (Jugoslávských partyzánů 3, building B - the lower one), entrance closer to the square (not to the canteen), on the 6th floor; you will probably have to wait in front of the door. The course will take place each Monday, 11:00-12:30.

The lectures will be available also online using BigBlueButton (BBB) Open Source software; Tutorial video for students.

BRUTE

Lecture notes and other supporting material

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.