Realization of linear defuzzified output via mixed fuzzy logics

The realization of a linear defuzzified output of a fuzzy controller by appropriate choice of each component of the fuzzy controller is discussed. The fuzzy controller with a simplified fuzzy reasoning method is described. The linear defuzzified output of the fuzzy controller is discussed, where arbitrary numbers of triangular fuzzy numbers are employed to fuzzify the linguistic variables in fuzzy control rules. Using three mixed fuzzy logics, the author shows that the defuzzified output can be precisely equivalent to a linear function of all the inputs to the fuzzy controller