
Fundamentals of Soft ComputingFundamentals of Soft Computing 11
The uniform shading for the FOU represents the entire Interval Type-2
Fuzzy Set
(IT2FS) and it can be described in terms of an upper membership
function and a lower membership function:
(1.4.3)
(1.4.4)
In Fig. 1.5 the shadow region is the FOU of the IT2MF.
1.5 Type-2 Fuzzy Inference Systems
The basics and principles of fuzzy logic do not change from T1FS to T2FS
(Mendel 2007, Mendel and Bob John 2002), they are independent of the
nature of membership functions , and in general, will not change for any
type-n. When an FIS uses at least one T2FS, it is a T2FIS (Mendel 2001, Liang ...