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

fYear

2009

Firstpage

738

Lastpage

743

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems, 2009. FUZZ-IEEE 2009. IEEE International Conference on

Conference_Location

Jeju Island

ISSN

1098-7584

Print_ISBN

978-1-4244-3596-8

Electronic_ISBN

1098-7584

Type

conf

DOI

10.1109/FUZZY.2009.5277411

Filename

5277411