Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)

A fixed-shape fuzzy median of a fuzzy sample

Authors
Adrian Ban, Lucian Coroianu, Przemyslaw Grzegorzewski
Corresponding Author
Adrian Ban
Available Online August 2013.
DOI
https://doi.org/10.2991/eusflat.2013.37How to use a DOI?
Keywords
fuzzy numbers median distances between fuzzy numbers
Abstract
Since fuzzy numbers are not linearly ordered a median of a fuzzy sample cannot be determined directly as it happens with crisp observations. Even the very notion of a median of a fuzzy sample is not well established. Therefore we propose some definitions of the fixed-shape fuzzy median of a fuzzy sample as a member of a given class of fuzzy numbers which minimizes the distance to the sample. We also prove the existence of such fixed-shape median for the most important subfamilies of fuzzy numbers and the broad class of metrics.
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Proceedings
8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
Part of series
Advances in Intelligent Systems Research
Publication Date
August 2013
ISBN
978-90786-77-78-9
ISSN
1951-6851
DOI
https://doi.org/10.2991/eusflat.2013.37How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Adrian Ban
AU  - Lucian Coroianu
AU  - Przemyslaw Grzegorzewski
PY  - 2013/08
DA  - 2013/08
TI  - A fixed-shape fuzzy median of a fuzzy sample
BT  - 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
PB  - Atlantis Press
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2013.37
DO  - https://doi.org/10.2991/eusflat.2013.37
ID  - Ban2013/08
ER  -