An Efficient Non-Iterative Method for Computing the Centroid of an Interval Type-2 Fuzzy Set

In many applications, interval type-2 fuzzy logic systems (IT2FLSs) are better at dealing with uncertainties. Iterative Karnik-Mendel (KM) algorithms in type reduction (TR) have a high computational cost. This is one of the major drawbacks of IT2FLSs. From the practical point of view, this prevent using IT2FLS in real-world applications. To address this issue, a novel non-iterative method called Moradi-Zirkohi (MZ) TR method is proposed for computing the centroid of an IT2FLS. This makes the practical implementation of the IT2FLSs simpler. Comparative simulation results verify that the proposed method outperforms the KM TR method in terms of computational burden. Besides, closer results, in terms of accuracy, to the KM TR method among the existing non-iterative TR methods are also achieved by the proposed TR method.