An approximation method for Type reduction of an Interval Type-2 fuzzy set based on α-cuts

Author

García, Juan Carlos Figueroa

Author_Institution

Math. Modeling Appl. to Ind. (MMAI) & Lab. for Autom., Univ. Distrital Francisco Jose de Caldas, Bogota, Colombia

fYear

2012

fDate

9-12 Sept. 2012

Firstpage

49

Lastpage

54

Abstract

This paper shows a proposal for Type-reduction of an Interval Type-2 fuzzy set composed from α-cuts done over its primary membership functions. The definition of available Type-reduction methods for Interval Type-2 fuzzy sets are based on an homogeneous subdivision of the universe of discourse, so we propose an approximation algorithm for Type-reduction of an Interval type-2 fuzzy set through its primary α-cuts. Some definitions about the α-cut of a Type-2 fuzzy set are provided and used for computing the centroid of an Interval Type-2 fuzzy set through a mapping of its membership function, instead of its universe of discourse.

Keywords

approximation theory; fuzzy set theory; α-cuts; approximation algorithm; approximation method; interval type-2 fuzzy set; type reduction; Approximation algorithms; Approximation methods; Decision making; Fuzzy logic; Fuzzy sets; Optimization; Zirconium;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Science and Information Systems (FedCSIS), 2012 Federated Conference on

Conference_Location

Wroclaw

Print_ISBN

978-1-4673-0708-6

Electronic_ISBN

978-83-60810-51-4

Type

conf

Filename

6354390