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Electroencephalogram (EEG) analysis remains problematic due to both lack of understanding of the origins of the signal and inadequate evaluation methods. In spite of these shortcomings, the EEG is a valuable tool in the evaluation of some neurological disorders as well as in the evaluation of overall cerebral activity. It becomes more useful when combined with other clinical parameters. The focus of the work described here is twofold. New chaotic methods are introduced for EEG evaluation coupled with a hybrid system approach that permits the combination of the EEG results with clinical parameters to form a comprehensive decision model. The system is illustrated in an application for diagnosis of dementia. Extensions can easily be made to applications such as evaluation of brain activity during surgery.