Applications of Type-2 Fuzzy Sets with Set Approximation Approaches: A Summary

Although fuzzy control technique has been widely developed in main scientific applications and engineering system, a challenging research problem how to design the appropriate parameters of fuzzy controller in the different applications still has drawn attention of researchers in various fields. Two approximating-based methods included in this paper are summarized from our previous work. One is that the parameters of Gaussian membership function can be approximately calculated when the range and mean of the input data are given. Another is that a best crisp approximation of fuzzy set can be calculated such that an interval type-2 fuzzy set can be reduced to a type-1 fuzzy set.