Flexible bootstrap based on the canonical representation of fuzzy numbers

DOI

10.2991/eusflat-19.2019.68How to use a DOI?

Keywords

Bootstrap Resampling Fuzzy data Fuzzy numbers Canonical representation

Abstract

A new resampling approach for simulating bootstrapped samples of fuzzy numbers is proposed. The secondary samples consist of fuzzy numbers which preserve the canonical representation (i.e., the value and ambiguity) of fuzzy numbers belonging to the primary sample, although may differ from the initial ones. This way the resulting bootstrap distribution has a richer support than obtained with the conventional method. Numerical experiments concerning two statistical tests for the expected value of a fuzzy random variable illustrate the suggested VA-bootstrap method and some of its properties.

Copyright

© 2019, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

TY  - CONF
AU  - Przemyslaw Grzegorzewski
AU  - Olgierd Hryniewicz
AU  - Maciej Romaniuk
PY  - 2019/08
DA  - 2019/08
TI  - Flexible bootstrap based on the canonical representation of fuzzy numbers
BT  - Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)
PB  - Atlantis Press
SP  - 490
EP  - 497
SN  - 2589-6644
UR  - https://doi.org/10.2991/eusflat-19.2019.68
DO  - 10.2991/eusflat-19.2019.68
ID  - Grzegorzewski2019/08
ER  -