\input zb-basic \input zb-ioport \iteman{io-port 05768381} \itemau{Beliakov, Gleb; Bustince, Humberto; Fernandez, Javier} \itemti{On the median and its extensions.} \itemso{H\"ullermeier, Eyke (ed.) et al., Computational intelligence for knowledge-based systems design. 13th international conference on information processing and management of uncertainty, IPMU 2010, Dortmund, Germany, June 28 -- July 2, 2010. Proceedings. Berlin: Springer (ISBN 978-3-642-14048-8/pbk). Lecture Notes in Computer Science 6178. Lecture Notes in Artificial Intelligence, 435-444 (2010).} \itemab 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. \itemrv{~} \itemcc{} \itemut{median; aggregation functions; means; OWA} \itemli{doi:10.1007/978-3-642-14049-5\_45} \end