Mean: Mean of a trapezoidal fuzzy sample

In FuzzyStatTra: Statistical Methods for Trapezoidal Fuzzy Numbers

Description

Given a sample of trapezoidal fuzzy numbers contained in a matrix F, the function calculates the Aumann-type mean of these numbers (which is a trapezoidal fuzzy number too). The function first checks if the input matrix F is given in the correct form (tested by checkingTra).

Usage

Mean(F)

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).

Details

See examples

Value

The function returns the Aumann-type mean, given as a matrix of dimension 1 x 4.

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.

Author(s)

Asun Lubiano <[e-mail]>, Sara de la Rosa de Saa <[e-mail]>

References

[1] Sinova, B.; De la Rosa de Saa, S.; Lubiano, M.A.; Gil, M.A.: An overview on the statistical central tendency for fuzzy datasets, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 23 (Suppl. 1), pp. 105-132 (2015)

See Also

checkingTra

Examples

# Example 1:
F=SimulCASE1(100)
Mean(F)

# Example 2:
F=matrix(c(1,0,2,3),nrow=1)
Mean(F)

# Example 3:
F=matrix(c(1,0,2,3),nrow=2)
Mean(F)

Example output

          [,1]       [,2]      [,3]     [,4]
[1,] -2.211036 -0.9470754 0.6318397 1.794172
[1] "input defines no trapezoidal fuzzy numbers - four values must increase"
[1] "input defines no trapezoidal fuzzy numbers - each trapezoidal fuzzy number must have four values"

FuzzyStatTra documentation built on May 2, 2019, 10:59 a.m.