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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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Fuzzy decision models
Starý, Josef ; Karpíšek, Zdeněk (referee) ; Žák, Libor (advisor)
This master's thesis is focused on fuzzy decision-making using fuzzy inference systems. In the first part, the math theory necessary in this field is described. The main objective of the thesis is to create a fuzzy inference system with adaptive cruise control function. Mathematical software MATLAB is used to accomplish this goal. The system evalutes situations and decides on the vehicle's response based on input variables such as the vehicles's speed, the speed of the previous vehicle, and the distance between vehicles. Its functionality is tested in this thesis using simulations of fictional scenarios, and then the system is compared to real adaptive cruise control systems using real data.
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Vágní informace na konečných abecedách a její monotónní charakteristiky
Kovářová, Lenka ; Beneš, Viktor (advisor) ; Kupsa, Michal (referee)
Title: Vague information on finite alphabets and its monotonous characteristics Author: Mgr. Lenka Kovářová Department: Department of Probability and Mathematical Statistics Supervisor: prof. RNDr. Viktor Beneš, DrSc. Abstract: The bachelor thesis is focused on information-theoretic source of messages with vague recognition from a final general alphabet. The aim of this work is to compile an overview of existing approaches to entropy and information. There were published several approaches how to convert to the fuzzy set theory the concept of entropy, which was originally introduced in physics, mathematically expressed as an additive-probability model and adjusted for Shannon probabilistic information source. Most of these approaches maintains the additive-probability model, while the emphasis in the theory of fuzzy sets is laid on the characteristics of minimum and maximum. Keywords: Entropy, Information, Fuzzy sets, Vague Entropy, Vague Information 1
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Metody fuzzy řízení
Valach, Jiří
This thesis deals with fuzzy regulation. The theoretical part describes fuzzy logic, fuzzy controllers, fuzzy expert systems and Fuzzy Logic Controller in Matlab Simulink software. The practical part contains a set of typical regulated systems in Matlab Simulink software. The systems are regulated by selected fuzzy controllers in comparison with the classical PID controller.
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Systémy morfismů nad Gödelovou fuzzy logikou
Luhan, Ondřej ; Běhounek, Libor (advisor) ; Haniková, Zuzana (referee)
This work introduces some very basic concepts of category theory as built up over first-order predicate Gödel fuzzy logic (with crisp identity and the delta operator). A fuzzy variation of a classical concept of a category is considered. Then several systems of morphisms loosely based on the crisp categories Rel and Set are defined and examined. Accordingly, all the systems under consideration consist of fuzzy sets as objects and various kinds of binary fuzzy relations as morphisms. Our approach is a logic-based graded generalization of crisp (clas- sical) category-theoretical approaches to fuzzy sets, which have been initiated by Goguen. 1
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