Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)

Flexible bootstrap based on the canonical representation of fuzzy numbers

Authors
Przemyslaw Grzegorzewski, Olgierd Hryniewicz, Maciej Romaniuk
Corresponding Author
Przemyslaw Grzegorzewski
Available Online August 2019.
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/).

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Volume Title
Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)
Series
Atlantis Studies in Uncertainty Modelling
Publication Date
August 2019
ISBN
978-94-6252-770-6
ISSN
2589-6644
DOI
10.2991/eusflat-19.2019.68How to use a DOI?
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/).

Cite this article

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  -