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EN
The paper presents the method of assessment of learning outcomes acquirement by students. The analysis is based on the results of the final matriculation exam in mathematics. For crisp and both types of fuzzy relations, cut scores (passing scores) can be defined along with the method of preparing rankings of students. The advantage of applying type 2 fuzzy relations is the lack of the necessity for experts to agree to one level (one number) of verification of learning outcomes by items created for the examination. Based on the results of the exam and experts’ knowledge, the decision support system for calculating the levels of learning outcomes acquirement, making decisions about passing the examination and preparing rankings of students, can be developed. Additionally, the rank reversal phenomenon does not burden the proposed method.
EN
Educating young software engineers and IT experts is a great challenge nowadays. Still new technologies are used in a practical approach and many of them come from formal methods. To help future software experts in the understanding of formal methods grounded in semantics, learning software that illustrates and visualizes important techniques seems to be very fruitful. In this paper, we present software, which handles the arithmetic and Boolean expressions, their analysis, evaluation, drawing the syntax tree and the other techniques with the expressions. This software is devoted as a teaching tool for teachers when explaining appropriate theory and for students for self-studying and making their own experiments. Furthermore, this software is an integral part of our software package for several semantic methods.
EN
Expert methods belong to the group of heuristic methods, whose meaning plays more and more significant role in economic phenomena analysis. Data provided in such way should be characterized by good quality. The essential problem in expert research seems to be the problem of reliability of provided information, and what follows, its representativeness. In the article, the expertmathematical method was presented as a method of determining the minimum size of the group of experts, which has a direct impact on research representativeness with assistance of experts. Presentation of the method is supported with empirical example.
PL
Metody ekspertowe należą do grupy metod heurystycznych, których znaczenie w obecnym czasie odgrywa coraz większą rolę w analizowaniu zjawisk ekonomicznych. Dostarczone w ten sposób dane powinny się charakteryzować odpowiednią jakością. Istotny w badaniach ekspertowych wydaje się problem wiarygodności dostarczonych informacji, a co się z tym wiąże – ich reprezentatywności. W artykule zaprezentowano metodę eksperckomatematyczną jako metodę określania minimalnej liczebności grupy ekspertów. Prezentacja metody została poparta przykładami empirycznymi.
4
Content available remote Określenie optymalnych warunków nawodnienia stokowego
EN
Infliltration process is usually described using unsteady model of water flow in unsaturated porous media. The paper presents mathematical analysis of infiltration process during irrigation of surface soils. The analysis alow to estimate the optimal condition for border irrigation system.
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