Abstract
This course will provide an introduction to and an overview of type-2 fuzzy sets (T2 FSs) and systems. It will locate type-2 fuzzy sets and systems in an educational taxonomy, so that the student will appreciate from the onset the importance of studying such fuzzy sets; explain what a T2 FS is, how it is different from a type-1 FS, and why it is needed; provide careful definitions and pictures of the new terminology of T2 FSs; explain the importance of interval type-2 fuzzy sets over more general T2 FSs; explain important representations for a T2 FS (one is very good for computing, and another is very good for quickly developing the structure of the solution to a new theoretical problem); explain how T2 FSs are used in a rule-based system (a fuzzy logic system-FLS); describe the detailed computations that are used for an interval T2 FLS, relying mostly on graphical pictures; compare those computations with their type-1 counterparts; explain the major obstacle to using a T2 FLS in a real-time application and how that obstacle has been overcome; and wrap up the course with a plug for the applications course and a short reading list.

Educational Course Subject Areas
Artificial Intelligence ,  Computing ,  Instrumentation & Measurement ,  Robotics & Automation

Keywords
fuzzy set ,  type-2 fuzzy set ,  footprint of uncertainty ,  lower membership functions ,  upper membership functions ,  representation theorem ,  fuzzy logic ,  type-2 fuzzy logic system ,  firing interval ,  output processing ,  centroid: type-reduction ,  KM Algorithms ,  WM uncertainty bounds