Beliakov, Gleb; Bustince, Humberto; Fernandez, Javier The median and its extensions. (English) Zbl 1217.62012 Fuzzy Sets Syst. 175, No. 1, 36-47 (2011). 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. Cited in 6 Documents MSC: 62E10 Characterization and structure theory of statistical distributions 62E99 Statistical distribution theory Keywords:aggregation functions; means; OWA PDFBibTeX XMLCite \textit{G. 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