GENERALIZING THE MODELING OF FUZZY-LOGIC CONTROLLERS BY PARAMETERIZED AGGREGATION OPERATORS

We describe the type of reasoning used in the typical fuzzy logic controller, the Mamdani reasoning method, We point out the basic assumptions in this model, We discuss the S-OWA operators which provide families of parameterized ''andlike'' and ''orlike'' operators, We generalize the Mamdani model by introducing these operators. We introduce a method, which we call Direct Fuzzy Reasoning (DFR), which results from one choice of the parameters. We develop some learning algorithms for the new method. We show how the Takagi-Sugeno-Kang (TSK) method of reasoning is an example of this DFR method.