A fixed-shape fuzzy median of a fuzzy sample (original) (raw)
Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
Authors
Adrian Ban, Lucian Coroianu, Przemyslaw Grzegorzewski
Available Online August 2013.
DOI
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.
Copyright
© 2013, 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 - 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 - Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13) PB - Atlantis Press SP - 255 EP - 262 SN - 1951-6851 UR - https://doi.org/10.2991/eusflat.2013.37 DO - 10.2991/eusflat.2013.37 ID - Ban2013/08 ER -