In this Section, we briefly describe the interval numbers, the UOWA operator and the POWA operator.
An UOWA operator of dimension n is a mapping UOWA: [[OMEGA].
Note also that different families of UOWA operators can be studied by choosing a different weighting vector such as the step-UOWA operator, the window-UOWA, the median-UOWA, the olympic-UOWA, the centered-UOWA and the S-UOWA.
Basically, if [beta] = 0, then, we get the probabilistic approach and if [beta] = 1, the UOWA operator.
Note that these properties have to be accomplished for the weighting vector W of the UOWA operator but not necessarily for the weighting vector P of the probabilities.