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A new approach to design of an adaptive fuzzy logic control system

As it is well known that enough fuzzy rules can approximate any unknown function. Meanwhile, there are applications such as robot control, video rich multimedia and virtual reality, which can require many more rules of greater complexity operating in milliseconds. It becomes necessary to suggest ways to cope with a vexing problem in fuzzy logic: the exponential growth in rules as the number of variables increases. This motivation is utilized in the paper for introducing of an adaptive analytic function that determines the positions of centres of output fuzzy sets in each mapping process, instead of definition of rule base. Thus, the approach described is without any fuzzy logic rule.