Interval type-2 fuzzy logic systems (IT2 FLSs) have demonstrated better abilities to handle
uncertainties than their type-1 (T1) counterparts in many applications; however, the high …

The Karnik-Mendel (KM) algorithms are iterative procedures widely used in fuzzy logic
theory. They are known to converge monotonically and superexponentially fast; however …

In this state-of-the-art paper, important advances that have been made during the past five
years for both general and interval type-2 fuzzy sets and systems are described. Interest in …

Interval type-2 fuzzy logic controllers (IT2 FLCs) have recently been attracting a lot of
research attention. Many reported results have shown that IT2 FLCs are better able to …

In this paper, an efficient centroid type-reduction strategy for general type-2 fuzzy set is
introduced. This strategy makes use of the result of α-plane representation, and performs the …

Type-reduction algorithms are very important for type-2 fuzzy sets and systems. The earliest
one, and also the most popular one, is the Karnik-Mendel Algorithm, which is iterative and …

Type-1 fuzzy sets can model the linguistic uncertainty from a single user, ie, intra-personal
uncertainty. Type-1 fuzzy systems have been widely used in controls and machine learning …

Type reduction (TR) followed by defuzzification is commonly used in interval type-2 fuzzy
logic systems (IT2 FLSs). Because of the iterative nature of TR, it may be a computational …

Computing the centroid and performing type-reduction for type-2 fuzzy sets and systems are
operations that must be taken into consideration. Karnik-Mendel (KM) algorithms are the …

Type-2 fuzzy sets, which are characterized by membership functions (MFs) that are
themselves fuzzy, have been attracting interest. This paper focuses on advancing the …