Creator:

Grzegorzewski, Przemysław ; Hryniewicz, Olgierd (1948- ) ; Romaniuk, Maciej

Contributor:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Title:

Flexible resampling for fuzzy data

Group publication title:

AMCS, volume 30 (2020)

Subject and Keywords:

bootstrap ; fuzzy data ; fuzzy numbers ; fuzzy sample ; imprecise data ; resampling

Abstract:

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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2020

Resource Type:

artykuł

DOI:

10.34768/amcs-2020-0022

Pages:

281-297

Source:

AMCS, volume 30, number 2 (2020) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego