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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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Democratization in Europe between 1972 and 2000: Why it did not lead to War? Qualitative Comparative Analysis based on fuzzy set method
Brázová, Věra - Karin ; Střítecký, Vít (advisor) ; Karlas, Jan (referee)
The rigorous thesis focuses on European countries which underwent so-called partial democratization in the last quarter of the 20th century. It starts from the polemic with Mansfield and Snyder who claim that a (partial) democratization leads to war. The development in Europe of the last quarter of the 20th century, however, seems to contradict this notion. The aim of the thesis is, thus, to contribute to the debate of war-proneness of democratizing states by answering the following question: What caused that the democratization did not lead to war in many cases? Due to the nature of the research question as well as to the number of cases (i.e. 20) the method applied here is qualitative comparative analysis using the so-called fuzzy set method. The application of this method as such is a secondary aim of the thesis. Possible causal conditions of the absence of war which are under study here also derive mostly from the conclusions made by Mansfield and Snyder. The main focus is put on the so-called golden parachute. Among other causes are strong institutions - conceptualized here as weak and weakened executive, political integration into international community, duration of independent statehood and at least some experience with democracy - and developed economy - conceptualized through GDP,...
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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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Democratization in Europe between 1972 and 2000: Why it did not lead to War? Qualitative Comparative Analysis based on fuzzy set method
Brázová, Věra - Karin ; Střítecký, Vít (advisor) ; Karlas, Jan (referee)
The rigorous thesis focuses on European countries which underwent so-called partial democratization in the last quarter of the 20th century. It starts from the polemic with Mansfield and Snyder who claim that a (partial) democratization leads to war. The development in Europe of the last quarter of the 20th century, however, seems to contradict this notion. The aim of the thesis is, thus, to contribute to the debate of war-proneness of democratizing states by answering the following question: What caused that the democratization did not lead to war in many cases? Due to the nature of the research question as well as to the number of cases (i.e. 20) the method applied here is qualitative comparative analysis using the so-called fuzzy set method. The application of this method as such is a secondary aim of the thesis. Possible causal conditions of the absence of war which are under study here also derive mostly from the conclusions made by Mansfield and Snyder. The main focus is put on the so-called golden parachute. Among other causes are strong institutions - conceptualized here as weak and weakened executive, political integration into international community, duration of independent statehood and at least some experience with democracy - and developed economy - conceptualized through GDP,...
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