The main concern of this article is to address the exponential stability problem of fractional-order T-S fuzzy multi-links complex networks through designing the novel intermittent adaptive event-triggered control (IAE-TC) scheme. To reduce unnecessary transmission burden as much as possible in an allowable range, dynamic variable is introduced into fuzzy intermittent adaptive control and then fuzzy intermittent adaptive event-triggered control is established. In this control scheme, the controller is only activated when the event triggering conditions are not met, and has adaptability to the evolution results of the controlled network. Furthermore, by applying the Lyapunov method, the graph theory and the IAE-TC strategy, exponential stability criteria of the proposed networks are deduced. Meanwhile, we prove that Zeno behavior does not exist. Ultimately, an application about fractional-order T-S fuzzy multi-links competitive neural networks model is given to demonstrate the validity of the results, simultaneously, we show some numerical simulations.