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Fuzzy implikace
Jirmusová, Veronika ; Zbořil, František (oponent) ; Hliněná, Dana (vedoucí práce)
Tato práce se věnuje fuzzy logickým spojkám, podrobněji pak fuzzy implikacím a jejich konstrukcím. Při konstruování fuzzy implikací pomocí transformace byly nalezeny dvě nové třídy fuzzy implikací. Dále byl proveden experiment modelování fuzzy logických spojek na základě empirických dat, k čemuž byla využita aproximace aditivního generátoru. Na základě takto aproximovaných dat byla modelována fuzzy implikace. Experiment také zkoumá, jak lidé v běžném jazyce vnímají fuzzy implikace, zda je nevnímají jako ekvivalence a zda se vymodelovaná implikace nepodobá nějaké již známé fuzzy implikaci.
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Fuzzy graphs theory
Ducký, Patrik ; Zbořil, František (oponent) ; Hliněná, Dana (vedoucí práce)
This bachelor thesis deals with the problems of fuzzy sets, fuzzy relations and their application in fuzzy graph theory. In the introduction, the basic problem of fuzzy sets is introduced. The next part of the thesis is devoted to the properties of fuzzy relations and their relation to fuzzy graphs. The main part of the thesis consists of classical coloring, fractional coloring of graphs and their fuzzification. Finally, an application is presented that can instruct the user on fractional coloring of fuzzy graphs, and at the same time can color the input fuzzy graph. The goal of this thesis and the application is to contribute to the awareness of this issue and its possible applications in computer science.
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Fuzzy Preference Structures in Multicriterial Decision Making
Majer, Tomáš ; Stryka, Lukáš (oponent) ; Hliněná, Dana (vedoucí práce)
In many decision problems a set of actions is evaluated with respect to a set of viewpoints, called criteria. For example, in evaluating a car one can consider criteria such as maximum speed, price, acceleration, fuel consumption. In general, evaluations with respect to different criteria can be discordant with respect to preferences. One of the simplest aggregation procedures is the weighted sum of the evaluations with respect to considered criteria. We apply the results of the solution of a multicriterial optimization problem. There is used a comparison of the criterion fuzzy preference relations and the general fuzzy preference relation based on ordinary set operations. We illustrate our approach on practical example.
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Fuzzy Preference Structures in Multicriterial Decision Making
Majer, Tomáš ; Stryka, Lukáš (oponent) ; Hliněná, Dana (vedoucí práce)
In many decision problems a set of actions is evaluated with respect to a set of viewpoints, called criteria. For example, in evaluating a car one can consider criteria such as maximum speed, price, acceleration, fuel consumption. In general, evaluations with respect to different criteria can be discordant with respect to preferences. One of the simplest aggregation procedures is the weighted sum of the evaluations with respect to considered criteria. We apply the results of the solution of a multicriterial optimization problem. There is used a comparison of the criterion fuzzy preference relations and the general fuzzy preference relation based on ordinary set operations. We illustrate our approach on practical example.
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