A fixed-shape fuzzy median of a fuzzy sample
Adrian Ban , Lucian Coroianu , Przemysław Grzegorzewski
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. © 2013. The authors-Published by Atlantis Press.
|Journal series||8th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2013 - Advances in Intelligent Systems Research|
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