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  • The paper describes the development and achieved results using a fuzzy approximation of a real function applies to macroeconomic research. The fuzzy approximation utilizes multi-objective optimization to improve the achieved results. The accuracy of the approximated function and interpretability index of the fuzzy sets are utilized for multi-objective optimization by employing the Mamdani and Assilian method. A simple interpretability index that evaluates the distinguishability and coverage of the fuzzy sets is introduced and implemented in the optimizing framework. The rule base is derived in accordance with the course of the approximated function. This function is specified in the form of discrete points, the density of which can vary. The optimizing criterion minimizes the weighted sum of the accuracy of the approximated function and the interpretability index. A design approach is proven using macroeconomic research, investigating relations between total greenhouse gas emissions and the development of GDP.
  • The paper describes the development and achieved results using a fuzzy approximation of a real function applies to macroeconomic research. The fuzzy approximation utilizes multi-objective optimization to improve the achieved results. The accuracy of the approximated function and interpretability index of the fuzzy sets are utilized for multi-objective optimization by employing the Mamdani and Assilian method. A simple interpretability index that evaluates the distinguishability and coverage of the fuzzy sets is introduced and implemented in the optimizing framework. The rule base is derived in accordance with the course of the approximated function. This function is specified in the form of discrete points, the density of which can vary. The optimizing criterion minimizes the weighted sum of the accuracy of the approximated function and the interpretability index. A design approach is proven using macroeconomic research, investigating relations between total greenhouse gas emissions and the development of GDP. (en)
Title
  • Multi-objective optimization of function approximation using fuzzy rules
  • Multi-objective optimization of function approximation using fuzzy rules (en)
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  • Multi-objective optimization of function approximation using fuzzy rules
  • Multi-objective optimization of function approximation using fuzzy rules (en)
skos:notation
  • RIV/26867184:_____/13:004!RIV14-GA0-26867184
http://linked.open...avai/riv/aktivita
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  • P(GAP403/12/1811)
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  • 1
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  • 90116
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  • RIV/26867184:_____/13:004
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  • Fuzzy approximation, evolution algorithm, differential evolution, multi-objective optimization, macroeconomic research (en)
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  • CZ - Česká republika
http://linked.open...ontrolniKodProRIV
  • [1E72884DAFB6]
http://linked.open...i/riv/nazevZdroje
  • ECON - Journal of Economics, Management and Business
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  • 23
http://linked.open...iv/tvurceVysledku
  • Huňka, František
  • Zimmermannová, Jarmila
issn
  • 1803-3865
number of pages
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