A class of membership functions for fuzzy sets, which generalize known types of membership functions was offered and investigated. Was analyzed effectiveness of the hand-printed recognition system using neuro-fuzzy network with membership functions from different classes. Analyzed results of numerical experiments of recognition system with membership functions from different classes. Revealed comparative advantage of smooth membership functions offered by authors.

Was analyzed effectiveness of the hand-printed recognition system using neuro-fuzzy network with membership functions from different classes. For pattern features was constructed smooth membership functions, and also known triangular, trapezoidal, Gaussian and bell membership functions. Analyzed results of numerical experiments of recognition system with membership functions from different classes. Revealed comparative advantage of smooth membership functions offered by authors.