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

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.