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Fuzzy computing is a branch of artificial intelligence that deals with reasoning and decision-making using degrees of truth represented by real numbers from interval [0,1]. Such representation of truth values is useful when dealing with imprecise or uncertain data. Neural-symbolic computing is a research that aims at integrating the ability of neural networks to learn from the environment and the ability to reason using symbolic representation of knowledge. These two domains are closely related because neural networks also yield real numbers. Please see my relevant research papers:
Need to relax? Try brain teasers. I would recommend those marked 'cool'.