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We recall the definitions of intuitionistic fuzzy sets and interval-valued fuzzy sets with the relation between these sets established by K. Atanassov. We define the distance measure between intuitionistic fuzzy sets and we give an axiom definition of intuitionistic fuzzy entropy and a theorem which characterizes it. Finally, we study a very special entropy and recall that all we have done for intuitionistic fuzzy sets is also good for interval-valued fuzzy sets.