Place of publishing:
Subject and Keywords:
Fuzzy numbers ; Liczby rozmyte ; Monte carlo methods ; Alpha-cuts ; Cięcia alfa ; Resampling method ; Metoda ponownego próbkowania ; Bootstrap ; Generation of fuzzy numbers ; Generowanie liczb rozmytych
In the paper we propose two new non-parametric methods for the simulation of bootstrap-like samples of fuzzy numbers. The generated secondary samples are based on an input set consisting of LFRNs (Left-Right Fuzzy Numbers). The proposed approaches utilize Monte Carlo method in a way, which, to some extent, resambles a bootstrap. However, contrary to the classical bootstrap approach, the discussed methods are based on alpha-cuts of fuzzy numbers, which are generated in a new non-parametric way. Therefore, these procedures give us an opportunity to create "not exactly the same as previous" fuzzy numbers, and also lead to greater variability of the obtained output.
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Projects co-financed by:
Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.