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Type-2 Fuzzy Sets and Systems: Some Questions and Answers

For someone who is new to a type-2 fuzzy set, as is true for the majority of attendees at WCCI-2014, you may find its literature confounding because there are more ways to represent a type-2 fuzzy set than there are for a type-1 fuzzy set. This is due to the three-dimensional nature of the membership function of a type-2 fuzzy set as opposed to the two-dimensional nature of a type-1 fuzzy set. Having more representations to learn about may pose a barrier for newbies. My goal in the rest of this talk is to break down this barrier.

I have chosen for the rest of my talk to focus on answering three barrier-busting questions:

  1. What are the different ways to mathematically represent a T2 FS?
  2. Why are different representations needed?
  3. Which ones are useful for design