16.3. Introduction to Boolean algebras: definition, basic examples, incl. Lindenbaum-Tarski algebra partial order partitions of unity and their refinements 23.3. Many-valued logics and algebras (in general): basic examples and difference from Boolean algebras standard, product, and Lukasiewicz connectives algebras of generalized membership functions (clans) Lukasiewicz clans, MV-algebras 30.3. MV-algebras as lattices, distributivity partitions of unity and their refinements 5.4. Boolean elements classification of linearly ordered MV-algebras Chang's Completeness Theorem 19.4. Why classical measure theory is what it is: sigma-additivity, Banach-Tarski paradox, sigma-algebra of sets Measures on Borel sigma-algebra are determined by values on balls 26.4. Measures on collections of fuzzy sets (tribes) characterization of measures on Lukasiewicz and other tribes Basic ideas of fuzzy control 4.5. Fuzzy implications. Basics of fuzzy control. Mamdani-Assilian and residuum-based fuzzy controller. 11.5. přednáška se nekoná kvůli konferenci ECCV. 18.5. Fuzzy control. Requirements for the rule base. Fuzzy relational equations and their solvability. 25.5. Requirements for a fuzzy rule base and its consequences. Literature: D. Driankov, H. Hellendoorn, M. Reinfrank, An Introduction to Fuzzy Control, Springer, Berlin, Heidelberg, 1993. (Part 2) Moser, B., Navara, M.: Which triangular norms are convenient for fuzzy controllers? In: Proc. EUSFLAT-ESTYLF Joint Conf. 99, Universitat de les Illes Balears, Palma (Mallorca), Spain, 1999, 75-78. or Moser, B., Navara, M.: Fuzzy controllers with conditionally firing rules. IEEE Trans. Fuzzy Systems 10 (2002), No. 3, 340-348. (Sections 1-3) 1.6. Defuzzification
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