The median and its extensions

Beliakov, Gleb, Bustince, Humberto and Fernandez, Javier 2011, The median and its extensions, Fuzzy sets and systems, vol. 175, no. 1, pp. 36-47, doi: 10.1016/j.fss.2011.01.002.

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Title The median and its extensions
Author(s) Beliakov, GlebORCID iD for Beliakov, Gleb
Bustince, Humberto
Fernandez, Javier
Journal name Fuzzy sets and systems
Volume number 175
Issue number 1
Start page 36
End page 47
Total pages 12
Publisher Elsevier BV
Place of publication Amsterdam, Netherlands
Publication date 2011-07-16
ISSN 0165-0114
Keyword(s) median
aggregation functions
Summary We review various representations of the median and related aggregation functions. An advantage of the median is that it discards extreme values of the inputs, and hence exhibits a better central tendency than the arithmetic mean. However, the value of the median depends on only one or two central inputs. Our aim is to design median-like aggregation functions whose value depends on several central inputs. Such functions will preserve the stability of the median against extreme values, but will take more inputs into account. A method based on graduation curves is presented.
Language eng
DOI 10.1016/j.fss.2011.01.002
Field of Research 080108 Neural, Evolutionary and Fuzzy Computation
Socio Economic Objective 970108 Expanding Knowledge in the Information and Computing Sciences
HERDC Research category C1 Refereed article in a scholarly journal
HERDC collection year 2011
Copyright notice ©2011, Elsevier
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