Předmět Math. methods for artificial inteligence (KMA / WTEFM)
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Další informace
Obsah
Programme of the course1.Soft computing and hard computing. Motivation: living systems, sorites paradox.2.Neural networks. Motivation by biological neural networks. Model of a neural unit. Basic terminology.3.Neurons with binary values, Hebb's rule. Perceptron, logical function, the XOR problem.4.Continuous model of a neuron, distinct activation functions, learning using the delta rule with the help of the gradient descent method.5.Fuzzy sets and basic notions (universum, convexity, normality, alpha-cut, support, kernel, fuzzy number and fuzzy interval).6.Operations on fuzzy sets. Three basic algebras and basic t-norms. Analogy with the relationship between classical logic and classical set theory.7.Fuzzy relations (unary, binary, n-ary, fuzzy equivalence relation).8.Compositions of fuzzy relations.9.Linguistic variable and linguistic expression.10.Fuzzy rules and their interpretation.11.Fuzzy inference mechanisms. Block structure of the systems.12.Fuzzification, defuzzification, fuzzy interpolation. Methodological aspects.13.Particle Swarm Optimization ? a simple and efficient tool for stochastic optimization
Literatura
Klir, G. J.; Juan, B. Fuzzy Sets and Fuzzy Logic: Theory and Applications. Prentice Hall, 1995. Nguyen, H. T.; Walker, E. A. A first course in fuzzy logic. New York: CRC Press, 1996. Nguyen, H. T.; Prasad, N. R. (eds.). Fuzzy modeling and control. New York: CRC Press, 1999. Novák, V. Fuzzy Sets and Their Applications. Adam Hilger, Bristol, 1989. Novák, V., Perfilieva, I., Močkoř, J. Mathematical Principles of Fuzzy Logic. Kluwer, Boston, 1999.
Požadavky
Combined examination: 40 points can be obtained during the semester for two written tests (20+20); 60 points are available for the final exam, which has a written part with a possible oral explanation of particular questions that may arise based on the written exam. The evaluation of the course including the classification is carried out in accordance with the Study and Examination Regulations OU.
Garant
doc. Martin Štěpnička, Ph.D.
Vyučující
Mgr. Nicolás Miguel Madrid, Ph.D.doc. Martin Štěpnička, Ph.D.Mgr. Nicolás Miguel Madrid, Ph.D.doc. Martin Štěpnička, Ph.D.