The objective of this work tries to answer the question, in what the reinforcement
learning applied to fuzzy logic can be of interest in the field of the reactive
navigation of a mobile robot. In the first instance we have established an algorithm
applying the reinforcement learning to fuzzy limited lexicon. We have applied
it to a robot for the training of the follow-up of a rectilinear trajectory
of a starting point "D" at a point of unspecified arrival "A", while avoiding
with the robot butting against a possible obstacle.