Interval Type-2 Fuzzy Logic for Control Applications

Author

Castillo, Oscar

Author_Institution

Div. of Grad. Studies & Res., Tijuana Inst. of Technol., Tijuana, Mexico

fYear

2010

fDate

14-16 Aug. 2010

Firstpage

79

Lastpage

84

Abstract

Type-2 fuzzy sets are used for modeling uncertainty and imprecision in a better way. These type-2 fuzzy sets were originally presented by Zadeh in 1975 and are essentially “fuzzy fuzzy” sets where the fuzzy degree of membership is a type-1 fuzzy set. The new concepts were introduced by Mendel and Liang allowing the characterization of a type-2 fuzzy set with a superior membership function and an inferior membership function, these two functions can be represented each one by a type-1 fuzzy set membership function. The interval between these two functions represents the footprint of uncertainty (FOU), which is used to characterize a type-2 fuzzy set. Type-2 fuzzy logic can be used with success in control applications.

Keywords

fuzzy logic; fuzzy set theory; intelligent control; uncertainty handling; control application; footprint of uncertainty; fuzzy fuzzy set; interval type-2 fuzzy logic; membership function; Cognition; Fuzzy control; Fuzzy logic; Fuzzy sets; Mathematical model; Uncertainty; intelligent control; type-2 fuzzy logic;

fLanguage

English

Publisher

ieee

Conference_Titel

Granular Computing (GrC), 2010 IEEE International Conference on

Conference_Location

San Jose, CA

Print_ISBN

978-1-4244-7964-1

Type

conf

DOI

10.1109/GrC.2010.40

Filename

5576273