Flexible resampling for fuzzy data

• Autorzy: Grzegorzewski Przemyslaw , Hryniewicz Olgierd , Romaniuk Maciej

Identyfikatory

DOI

10.34768/amcs-2020-0022

• Języki publikacji: EN

Abstrakty

EN

In this paper, a new methodology for simulating bootstrap samples of fuzzy numbers is proposed. Unlike the classical bootstrap, it allows enriching a resampling scheme with values from outside the initial sample. Although a secondary sample may contain results beyond members of the primary set, they are generated smartly so that the crucial characteristics of the original observations remain invariant. Two methods for generating bootstrap samples preserving the representation (i.e., the value and the ambiguity or the expected value and the width) of fuzzy numbers belonging to the primary sample are suggested and numerically examined with respect to other approaches and various statistical properties.

Słowa kluczowe

EN

bootstrap; fuzzy data; fuzzy number; fuzzy sample; imprecise data; resampling

PL

bootstrap; dane rozmyte; liczba rozmyta; dane niedokładne

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2020
• Tom: Vol. 30, no. 2
• Strony: 281--297
• Opis fizyczny: Bibliogr. 38 poz., tab., wykr.

Twórcy

autor

Grzegorzewski Przemyslaw

• Systems Research Institute, Polish Academy of Sciences, Newelska 6, 01-447 Warsaw, Poland; Faculty of Mathematics and Information Science, Warsaw University of Technology, Koszykowa 75, 00-662 Warsaw, Poland

autor

Hryniewicz Olgierd

• Systems Research Institute, Polish Academy of Sciences, Newelska 6, 01-447 Warsaw, Poland

autor

Romaniuk Maciej

• Systems Research Institute, Polish Academy of Sciences, Newelska 6, 01-447 Warsaw, Poland; Warsaw School of Information Technology, Newelska 6, 01-447 Warsaw, Poland

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).