Matrix implementation of fuzzy inference alghorithms

Mathematical Modelling: Methods, algorithms, technologies

Matrix implementation of fuzzy inference algorithms that generalize by natural way of crisp logic derivation rules as modus ponens, modus tollens and like that are considered. It is shown that in suggested representation fuzzy inference procedure is equivalent to solving some system of linear algebraic equation with the usual existence condition for the solution. Examples that demonstrate effectiveness of method are considered in details. It is also performed that matrix representation simplifies programming fuzzy logic applications on controllers.