Combining the -Plane Representation with an Interval Defuzzification Method
Sarah Greenfield, Francisco Chiclana · 2011
This paper is concerned with the defuzzification of the discretised generalised type-2 fuzzy set.In 2008 Liu proposed the α-Plane Representation -a decomposition of the generalised type-2 set into horizontal slices termed 'α-planes'.An α-plane is akin to an interval type-2 fuzzy set.The α-Plane Representation must be used in conjunction with an interval defuzzification method: The three main options are 1. the Karnik-Mendel Iterative Procedure, 2. the Greenfield-Chiclana Collapsing Defuzzifier, or 3. the Nie-Tan Method.The experiments recorded in this paper address the question, "Which is the best interval defuzzification method for the α-Plane Representation to be combined with?"