Interval type-2 Boolean fuzzy systems are universal approximators

Author

You, Fei ; Ying, Hao

Author_Institution

Coll. of Inf. Eng., Yulin Univ. Yulin, Yulin, China

fYear

2010

fDate

12-14 July 2010

Firstpage

1

Lastpage

4

Abstract

Unlike the Mamdani and TS fuzzy systems, a Boolean fuzzy system, type-1 or type-2, employs a fuzzy implication to interpret its rules. There exist three families of type-2 fuzzy implications-R-implication, S-implication and QL-implication. In this paper, using the same technique that we developed previously [22, 23], we constructively prove that all the interval type-2 Boolean fuzzy systems, regardless of the implication they use, are universal approximators in that they are capable of uniformly approximating any real multivariate continuous function on a compact domain to any degree of accuracy.

Keywords

approximation theory; fuzzy set theory; QL-implication; R-implication; S-implication; fuzzy implication; interval type-2 Boolean fuzzy systems; universal approximators; CMOS technology; Delay; Delta-sigma modulation; Frequency conversion; Fuzzy systems; Quantization; Time domain analysis; Voltage; Voltage-controlled oscillators; Wideband; Boolean fuzzy systems; type-2 fuzzy systems; type-2 implications; universal approximator;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Information Processing Society (NAFIPS), 2010 Annual Meeting of the North American

Conference_Location

Toronto, ON

Print_ISBN

978-1-4244-7859-0

Electronic_ISBN

978-1-4244-7857-6

Type

conf

DOI

10.1109/NAFIPS.2010.5548180

Filename

5548180