Optimization of SIRMs Fuzzy Model Using Łukasiewicz Logic

The purpose of this study is to prove the existence of single input rule modules which minimize the performance functional of the feedback control using SIRMs fuzzy reasoning method. A bounded product (Łukasiewicz t-norm) and a bounded sum (Łukasiewicz t-conorm) are applied to the operations in SIRMs fuzzy reasoning for interpreting "ands" and "ors" respectively.