Direct Karnik-Mendel Algorithm in Interval Type-2 Fuzzy System

The centroid interval calculation of an IT2 Fuzzy Set plays an important role in IT2 Fuzzy Systems.Karnik-Mendel (KM) algorithm is widely used in this field.While KM algorithm is an iterative procedure,it's not efficient in online systems.The relationship between the centroid and the separate point of UFM and LFM was discussed and then a new Direct Karnik-Mendel (D-KM) algorithm was proposed to reduce the computational cost.Extensive simulations show that on average the D-KM algorithms can acquire about 65%-75% reduction in computation time.