Statistical comparison of type-1 and type-2 fuzzy systems design with genetic algorithms in the case of three tank water control

Author

Cervantes, Leticia ; Castillo, Oscar

Author_Institution

Tijuana Inst. of Technol., Tijuana, Mexico

fYear

2013

fDate

24-28 June 2013

Firstpage

1056

Lastpage

1061

Abstract

In this paper we show a statistical comparison using fuzzy systems for the benchmark case of three tank water level control. In this statistical comparison an empirical type-1 fuzzy system is applied and a type-1 fuzzy system with genetic algorithm is also used. After that a type-2 fuzzy system is used to achieve the control and a genetic algorithm is used to optimize this type-2 fuzzy system. These results are used to make a statistical comparison with the purpose to show the difference when type-1 and type-2 fuzzy systems are used with genetic algorithm or without optimization.

Keywords

fuzzy set theory; genetic algorithms; level control; tanks (containers); water storage; empirical type-1 fuzzy system; genetic algorithms; statistical comparison; three tank water level control; type-1 fuzzy systems design; type-2 fuzzy systems design; Benchmark testing; Fuzzy logic; Fuzzy systems; Genetic algorithms; Level control; Optimization; Valves; Fuzzy Control; Genetic ALgorithm; Granular computing; Type-2 Fuzzy System;

fLanguage

English

Publisher

ieee

Conference_Titel

IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), 2013 Joint

Conference_Location

Edmonton, AB

Type

conf

DOI

10.1109/IFSA-NAFIPS.2013.6608546

Filename

6608546