The lectures could be transmitted and recorded through BBB on request.
Basic notions. System of cuts of a fuzzy set, theorem on representation of fuzzy sets by cuts, conversion between vertical and horizontal representation.
Lecture cancelled.
Fuzzy inclusion. Fuzzy negations. Representation theorem for fuzzy negations.
Fuzzy complements. Fuzzy conjunctions (triangular norms).
Representation theorem for nilpotent conjunctions. Fuzzy disjunctions (triangular conorms), representation theorems. Fuzzy algebras and their properties. Examples of fuzzy intersections and unions.
Properties of fuzzy propositional and set operations. Fuzzy implications and biimplications. Fuzzy relations, their composition.