Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology

An analysis of the median of a fuzzy random variable based on Zadeh’s extension principle

Authors
Sonia Pérez-Fernández, Beatriz Sinova
Corresponding Author
Sonia Pérez-Fernández
Available Online June 2015.
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.125How to use a DOI?
Keywords
1-norm metric between fuzzy numbers, fuzzy random variable, median of a fuzzy number, random fuzzy number, Zadeh’s extension principle.
Abstract

The median of a fuzzy random variable has been extended either by applying Zadeh’s extension principle or by minimizing its mean distance w.r.t. a fuzzy number when a certain L1 metric is considered. This paper aims to analyze connections between both approaches along with some properties of the first one, as well as some simulation studies to show that it also behaves better than the Aumanntype mean.

Copyright
© 2015, 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 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
Series
Advances in Intelligent Systems Research
Publication Date
June 2015
ISBN
978-94-62520-77-6
ISSN
1951-6851
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.125How to use a DOI?
Copyright
© 2015, 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  - Sonia Pérez-Fernández
AU  - Beatriz Sinova
PY  - 2015/06
DA  - 2015/06
TI  - An analysis of the median of a fuzzy random variable based on Zadeh’s extension principle
BT  - Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 888
EP  - 894
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.125
DO  - https://doi.org/10.2991/ifsa-eusflat-15.2015.125
ID  - Pérez-Fernández2015/06
ER  -