Mamdani FLC with Various Implications

The task of the standard Mamdani fuzzy logic controller is to find a crisp control action from the fuzzy rule-base and from a set of crisp inputs. Because the interval inputs are frequently used in various domains (online shopping, for instance), in this paper we propose an extension of this type of controller which works with intervals as inputs and with various implication operators. For any implication we obtain a crisp value as output. Finally, these outputs are combined to obtain the overall crisp output action of the system.