Interval Type-2 Fuzzy Logic Systems Made Simple,” in

Abstract—To date, because of the computational complexity of using a general type-2 fuzzy set (T2 FS) in a T2 fuzzy logic system (FLS), most people only use an interval T2 FS, the result being an interval T2 FLS (IT2 FLS). Unfortunately, there is a heavy edu-cational burden even to using an IT2 FLS. This burden has to do with first having to learn general T2 FS mathematics, and then spe-cializing it to an IT2 FSs. In retrospect, we believe that requiring a person to use T2 FS mathematics represents a barrier to the use of an IT2 FLS. In this paper, we demonstrate that it is unnecessary to take the route from general T2 FS to IT2 FS, and that all of the re-sults that are needed to implement an IT2 FLS can be obtained using T1 FS mathematics. As such, this paper is a novel tutorial that makes an IT2 FLS much more accessible to all readers of this journal. We can now develop an IT2 FLS in a much more straightforward way. Index Terms—Fuzzy logic system, interval type-2 fuzzy sets, type-2 fuzzy logic system, type-2 fuzzy sets. I