Neural networks have become essential classifiers in various domains, including medicine. The choice of topology, internal structure, and learning algorithm characterizes the type of neural network, resulting in incredible diversity among these networks. Until now, the most challenging problem to solve for classifiers in a neural network has been finding an optimal balance among three selected facets: architecture, synaptic weight, and input variables. To address this problem, we propose a multiobjective neuro-genetic system that simultaneously optimizes these three facets. To demonstrate the effectiveness of our approach, we have implemented and compared two types of classifiers -the classical neural classifier and the multi-objective neuro-genetic classifier -using several medical databases. The results obtained showcase the efficiency of our method, with correct classification rates of up to 100%, which is a very promising outcome. The comparison between the two approaches employed demonstrates the effectiveness of the multi-objective genetic approach Povzetek: Predstavljen je nov večciljni evolucijski algoritem, zasnovan na NSGA-II, za optimizacijo nevronskih mrež pri napovedovanju hudih bolezni.