A Proposal to Speed up the Computation of the Centroid of an Interval Type-2 Fuzzy Set
Table 2
KMA2 algorithm flow.
KMA2
The KM algorithm for finding the minimum extreme point of the centroid of an interval type-2 fuzzy set over with upper membership function and lower membership function can be restated as follows:
The KM algorithm for finding the maximum extreme point of the centroid of an interval type-2 fuzzy set over xi with upper membership function and lower membership function can be reexpressed as follows:
Sort in ascending order and call the sorted by the same name, but now . Match the weights with their respective and renumber them so that their index corresponds to the renumbered .