Motivation for introducing fuzzy sets. Basic operations with fuzzy sets and
their interpretation, a principle of their expansion and application for various depictions usable in real practice. Fuzzy numbers, their introduction, operation with fuzzy numbers and properties of these operations. Fuzzy relationships, their basic properties and possibilities of interpretation of fuzzy relations, summarising fuzzy relations and applying this operation. Examples of special fuzzy relations, fuzzy equivalency and fuzzy arrangement, application and interpretation of these terms.
Literature
Dubois, D., Prade, H.: Fuzzy Sets and Systems. New York, Academic Press, 1980
Kaufmann, A.: Introduction to the Theory of Fuzzy Subsets, NY, Academic Press,1975
Kol.: Fuzzy Approach to Reasoning and Decision Makong, Academia, Praha, 1992
Advised literature
Nguyen, H.T.: Fuzzy modelling and kontrol,CRC Press, New York, 1999
Nguyen, H.T.: A first course in fuzzy logic, CRC Press, New York, 1996