TransfTra function

Transformation of a matrix of trapezoidal fuzzy numbers into an array

This function transforms a matrix of dimension n x 4 containing n trapezoidal fuzzy numbers characterized by their four values inf0,inf1,sup1,sup0 into an array of dimension nl x 3 x n containing these n fuzzy numbers characterized by means of nl equidistant $\alpha$-levels each (by default nl=101). The function first checks if the input matrix F is given in the correct form (tested by checkingTra). In case yes, the function returns an array given in the format explained in the function checking.

TransfTra(F, nl = 101)

Arguments

• F: matrix of dimension n x 4 containing n trapezoidal fuzzy numbers characterized by their four values inf0,inf1,sup1,sup0. The function implicitly checks if the matrix is in the correct form (tested by checkingTra).
• nl: positive integer, by default nl=101. It indicates the number of desired $\alpha$-levels for characterizing the trapezoidal fuzzy numbers.

Details

See examples

Returns

The function returns an array of dimension nl x 3 x n containing the n trapezoidal fuzzy numbers characterized by means of nl $\alpha$-levels. The first column of the array are the $\alpha$-levels, the second one their infimum values and the third one their supremum values. The correct format of the array is explained in the function checking.

Author(s)

Asun Lubiano lubiano@uniovi.es, Sara de la Rosa de Saa rosasara@uniovi.es

Note

In case you find (almost surely existing) bugs or have recommendations for improving the functions comments are welcome to the above mentioned mail addresses.

See Also

checkingTra, checking

Examples

# Example 1:
F=SimulCASE3(10)
TransfTra(F,200)

# Example 2:
F=matrix(c(1,1,0,2,3,4,5,6),nrow=2)
TransfTra(F)