In this study, we propose an approach based on the advanced fuzzy techniques such as Fuzzy C-Means, Fuzzy Robust Gamma Rank Correlation and Fuzzy Cognitive Maps to predict the acceptance attitudes towards Internet health information. To improve the Fuzzy Cognitive Maps efficiency we introduce the setting the values of initial matrix with the use of fuzzy methods and to divide the concepts based on the clustering methods. This allows us to use maps as a tool for prediction the acceptance attitudes of the young people in the area of heath information management. Moreover, this work sheds the light on the novel application of both Fuzzy C-Means and Fuzzy Robust Gamma Rank Correlation as tools for settings the initial values of connections between concepts for Fuzzy Cognitive Maps.