Abstract

This chapter provides background materials about type-2 fuzzy sets (T2 FSs). To begun with, it reviews type-1 fuzzy sets (T1 FSs) because T2 FSs build upon T1 FSs. The chapter provides a lot of information about interval type-2 fuzzy sets (IT2 FSs). It then provides an introduction to the general type-2 fuzzy sets (GT2 FSs) because such sets are the wave of the future. The chapter shows how to derive formulas for the union and intersection of two IT2 FSs and also the formula for the complement of an IT2 FS because these operations are widely used in an IT2 FLC. Historically, the Karnik-Mendel (KM) algorithms were the first, and are still the most widely used, algorithms for computing the switch points. These algorithms are summarized in the chapter.

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