Axioms for Consensus Functions on then-Cube
Keyword(s):
Apvalue of a sequenceπ=(x1,x2,…,xk)of elements of a finite metric space(X,d)is an elementxfor which∑i=1kdp(x,xi)is minimum. Thelp–function with domain the set of all finite sequences onXand defined bylp(π)={x: xis apvalue ofπ}is called thelp–function on(X,d). Thel1andl2functions are the well-studied median and mean functions, respectively. In this note, simple characterizations of thelp–functions on then-cube are given. In addition, the center function (using the minimax criterion) is characterized as well as new results proved for the median and antimedian functions.
2014 ◽
Vol 06
(04)
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pp. 1450057
2016 ◽
Vol 08
(03)
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pp. 1650044
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2014 ◽
Vol 06
(04)
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pp. 1450056
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2013 ◽
Vol 05
(04)
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pp. 1350033
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2019 ◽
Vol 72
(3)
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pp. 774-804
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2009 ◽
Vol 20
(02)
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pp. 313-329
2013 ◽
Vol 56
(3)
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pp. 519-535
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2013 ◽
Vol 65
(1)
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pp. 222-240
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