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Multicriteria analysis of the Human Development Index
Janů, Jakub ; Střížová, Vlasta (advisor) ; Jablonský, Josef (referee)
Diploma thesis describes the problem of quantitative expression of the quality of life. For this purpose is used one of the most widespread indicators of quality of life - Human Development Index. This paper describes its basic characteristics, method of calculation, its advantages and drawbacks. One of the objectives of this paper is the elimination of these shortcomings by alternative method of calculation. The methods of multi-criteria evaluation of alternatives and data envelopment analysis models are applied for these purposes. One part of this paper is a theoretical description of the tasks of multi-criteria decision making and their classification into the methods for multi-criteria evaluation of alternatives and into the methods of multi-criteria linear programming. In this paper are used methods WSA, TOPSIS and PROMETHEE, based on the definition of the theoretical characteristics of the methods of multi-criteria evaluation of alternatives. These methods are applied on the source data, obtained from a model of the human development index. After calculation, the results obtained are analyzed and written into the conclusion. Another alternative approach to obtain the level of human development is to evaluate the degree of efficiency of countries using data envelopment analysis models in comparison with the human development index. For these purposes is written the theoretical background, which defines the basic types of data envelopment analysis models. These theoretical findings serve as the basis for the practical analysis by the BCC output oriented model and by the corresponding model of super efficiency. The results of these calculations are analyzed and subsequently written into the final conclusion.
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Systém pro řešení úloh vícekriteriálního hodnocení variant v prostředí internetu
Zavrtálek, Jan ; Jablonský, Josef (advisor) ; Kalčevová, Jana (referee)
This diploma thesis deals with description of methods and original on-line application for solving multicriteria evaluation of alternatives problems. Methods based on maximisation of utility value (WSA), minimisation of distance from ideal alternative (TOPSIS), evaluation of preference relations (ELECTRE) and evaluation along preference flows (PROMETHEE) are described and implemented in the application. The thesis introduces an original web application written in PHP language which is developed for solving multicriteria evaluation of alternatives problems in internet environment. The application running on web-server allows solving multicriteria evaluation of alternatives problems by four above mentioned methods. The application is controlled by any web browser. A run-time complexity of used algorithms is measured and discussed.
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