A fixed-shape fuzzy median of a fuzzy sample

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/).

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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  -