Given a sample of trapezoidal fuzzy numbers contained in a matrix
F, the function calculates the 1-norm median of these numbers, characterized by means of
nl equidistant α-levels (by default
nl=101), including always the 0 and 1 levels, with their infimum and supremum values. The function first checks if the input matrix
F is given in the correct form (tested by
Median1norm(F, nl = 101)
matrix of dimension
positive integer, by default
The function returns the 1-norm median, given by an array of dimension
nl x 3 x 1 where
nl is the number of considered α-levels and 3 the number of columns of the array: the first column will be the α-levels, the second one their infimum values and the third one their supremum values.
In case you find (almost surely existing) bugs or have recommendations for improving the functions comments are welcome to the above mentioned mail addresses.
Asun Lubiano <firstname.lastname@example.org>, Sara de la Rosa de Saa <email@example.com>
 Sinova, B.; Gil, M.A.; Colubi, A.; Van Aelst, S.: The median of a random fuzzy number. The 1-norm distance approach, Fuzzy Sets Syst. 200, pp. 99-115 (2012)
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