Fuzzy systems of Mamdani type in the LU representation

LU parametric representation of fuzzy numbers describes fuzzy sets via the lower and upper endpoints of the level sets. This representation is used in the present paper to develop a single input single output fuzzy system of Mamdani type. The functions returning the endpoints of the level sets of a Mamdani system are calculated and the defuzzification is also described in the new LU-setting. The advantage provided by the LU representation is a reduced computational complexity, yet providing the same output as a Mamdani system, making in this way Mamdani systems directly and easily usable in real-time interactive simulation.