Title :
Type-reduction of the discretised interval type-2 fuzzy set
Author :
Greenfield, Sarah ; Chiclana, Francisco ; John, Robert
Author_Institution :
Centre for Comput. Intell., De Montfort Univ., Leicester, UK
Abstract :
We begin by surveying the available strategies for type-reducing a discretised type-2 fuzzy set to a type-1 fuzzy set, namely the exhaustive method, the Karnik-Mendel Iterative Procedure, the sampling method, the Greenfield-Chiclana Collapsing Defuzzifier and the Nie-Tan method. We go on to investigate mathematically what happens to the Representative Embedded Set Approximation as the domain discretisation becomes finer. This leads into a discussion of the relationship between the collapsing and Nie-Tan methods. An experimental comparison is made between the collapsing and Nie-Tan methods, with respect to both efficiency and accuracy.
Keywords :
fuzzy set theory; inference mechanisms; sampling methods; Greenfleld-Chiclana collapsing defuzzifler; Karnik-Mendel iterative procedure; Nie-Tan method; discretised interval type-2 fuzzy set; representative embedded set approximation; sampling method; type-1 fuzzy set; Computational complexity; Computational intelligence; Fuzzy sets; Inference algorithms; Sampling methods;
Conference_Titel :
Fuzzy Systems, 2009. FUZZ-IEEE 2009. IEEE International Conference on
Conference_Location :
Jeju Island
Print_ISBN :
978-1-4244-3596-8
Electronic_ISBN :
1098-7584
DOI :
10.1109/FUZZY.2009.5277411
