An efficient non-iterative method for computing the centroid of an interval type-2 fuzzy set

Interval type-2 fuzzy logic systems (IT2FLSs) have better abilities to cope with uncertainties in many applications. One major drawback of IT2FLSs is the high computational cost of the iterative Karnik-Mendel (KM) algorithms in type-reduction (TR). From the practical point of view, this prevents using IT2FLS in real-world applications. To address this issue, a novel non-iterative method called Moradi-Zirkohi-Lin (MZL) TR method is proposed for computing the centroid of an IT2FLS. This makes the practical implementation of the IT2FLSs simpler. Comparative simulation results show 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.

Automated summary

IT2FLS has better abilities to handle uncertainties, but the high computational cost of the KM algorithm hinders practical applications. The novel MZL TR method simplifies the implementation of IT2FLS, outperforming the KM TR method in terms of computational burden and achieving closer results in accuracy.