Flexible resampling for fuzzy data

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...

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Bibliographic Details
Main Authors: Grzegorzewski Przemyslaw, Hryniewicz Olgierd, Romaniuk Maciej
Format: Article
Language:English
Published: Sciendo 2020-06-01
Series:International Journal of Applied Mathematics and Computer Science
Subjects:
Online Access:https://doi.org/10.34768/amcs-2020-0022
Description
Summary: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.
ISSN:2083-8492