Fuzzy functions in fuzzy logic with fuzzy equality
Vilém Novák · Czech digital mathematics library · 2001
We are interested in the problem, under which conditions approximation of a function can be syntactically characterized in fuzzy logic in narrow sense with evaluated syntax (FLn).The approximation corresponds to the provability degree and we use a special case of disjunctive or conjunctive normal forms based on the fuzzy equality.We show that when assuming special properties of the latter, we obtain a finitary characterization, given a prescribed accuracy.The interpretation of the disjunctive normal form is precisely the Mamdani-Assilian formula used in fuzzy control.