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

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

54 views
#WCCI 2014 #Plenary Talk #Jerry M. Mendel #University of Southern Californi #Fuzzy Sets and Systems

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?

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?