Based on the fuzzy pattern recognition model founded by Prof. CHEN Shou-yu, this paper provides a new double objective uncertainty fuzzy pattern recognition model, which takes into account random and fuzzy uncertainty information to minimize weighted generalized distances and fuzzy entropy. The new model has been used to evaluate eutrophication degrees in 12 lakes and the double objectives results have been compared between the former model and the new model. The results show that because uncertainty is taken into account in the new model, it is superiority to the former one.