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Fuzzy logic methods for the risk assessment
Kovář, Kamil ; Vymazal, Tomáš (referee) ; Misák, Petr (advisor)
Master´s thesis deals about problematic of fuzzy logic, fuzzy sets and operation with them. Also thesis describing procedure of quantification risks through fuzzy sets, process of fuzzyfication, defuzzyfication a theirs application in the expert systems FMEA and FMECA. Using selected chapters of czech states standards are established critical areas in building process, it is a chapters about quality, safety and environment. With these areas by using fuzzy sets theory are created the procentual input values in the decision program, created by Matlab. Output from program is decision how big the risk rate is and if is necessarily make corrective measures. A concrete example is the production of concrete goods, describing production process and composition of fresh concrete. A practical example, created by using information from real company, is a decision about the risk rate in the qualitative area.
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Integrated development environment for Artificial Intelligence Fuzzy Numbers Module
Pergl, Miroslav ; Hrabec, Jakub (referee) ; Jirsík, Václav (advisor)
Master’s thesis deals with mathematical operation with fuzzy numbers. The first part of the thesis deals with theoretical knowledge of fuzzy arithmetic and defines fuzzy sets, fuzzy numbers, universum and five membership function used in program. In the concrete it describes – cut method for dealing with fuzzy numbers as with limited interval for specific level which simplifies computation. The second part of the thesis contains description of programmed module for mathematical operation with fuzzy numbers. There is described creation of user interface which is using to set parameters of computation. There are also described support functions which make operation with fuzzy numbers possible and operation ensures output.
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The use of the fuzzy set theory and their extensions in the TOPSIS method
Pokorný, Tomáš ; Jablonský, Josef (advisor) ; Borovička, Adam (referee)
This master's thesis deals with extensions of TOPSIS method, which is one of methods for multi-criteria evaluation of alternatives. These extensions use theory of fuzzy sets (FS) and their futher extensions to interval-valued (IVFS), intuitionistic (IFS) and hesitant (HFS) fuzzy sets and their combinations (IVIFS, IVIHFS). Significant part of this thesis explains the principle of fuzzy sets and their generalizations. Descriptions of operators for aggregations of grades of membership has very important role here. Next, very short description of multi-criteria evaluation problems and detailed description of TOPSIS method are contained. The second half of this thesis is dedicated to four existing extensions of TOPSIS metod that uses theories of FS, IVFS, IVIFS and IVIHFS. Every method is illustrated with an example that shows principle of calculations. It illustrates new possibilities of the methods that use new sets theories and potential complications and deviations from the original TOPSIS method. At the end of this thesis, evaluation of usefulness of used approaches is mentioned.
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Modern trends in the area of computer physics
SURYNEK, Radek
The theme of the thesis is to make a list few fundamental modern methods which can be used in computerized physics. The thesis describes parallel computing, neural networks,genetic algorithms, fuzzy logic. Every chapter include theoretical description, simplified mathematical expression, proposals of technical solution. Applications are briefly mentioned here too. The printed matter is completed with a few simple examples. The closing part of the thesis acquired information about these methods and outlines their future development.
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